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Finding the Fourth Proportional to 23,324.80, 34,972.80 and 13,459.20

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Solution

The fourth proportional to 23,324.80, 34,972.80 and 13,459.20 is: 20,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,324.80 : 34,972.80 = 13,459.20 : x
  2. Step 2: Convert to fraction form
    23,324.80/34,972.80 = 13,459.20/x
  3. Step 3: Cross multiply
    23,324.80x = 34,972.80 × 13,459.20
  4. Step 4: Simplify right side
    23,324.80x = 470,705,909.76
  5. Step 5: Solve for x
    x = 470,705,909.76/23,324.80
  6. Step 6: Final answer
    x = 20,180.49

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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.