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Finding the Fourth Proportional to 13,824,820.80, 20,737,231.20 and 12,502,123.20

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Solution

The fourth proportional to 13,824,820.80, 20,737,231.20 and 12,502,123.20 is: 18,753,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824,820.80 : 20,737,231.20 = 12,502,123.20 : x
  2. Step 2: Convert to fraction form
    13,824,820.80/20,737,231.20 = 12,502,123.20/x
  3. Step 3: Cross multiply
    13,824,820.80x = 20,737,231.20 × 12,502,123.20
  4. Step 4: Simplify right side
    13,824,820.80x = 259,259,419,289,283.81
  5. Step 5: Solve for x
    x = 259,259,419,289,283.81/13,824,820.80
  6. Step 6: Final answer
    x = 18,753,184.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.