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Finding the Fourth Proportional to 22,493.50, 33,742.70 and 13,784.38

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Solution

The fourth proportional to 22,493.50, 33,742.70 and 13,784.38 is: 20,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.50 : 33,742.70 = 13,784.38 : x
  2. Step 2: Convert to fraction form
    22,493.50/33,742.70 = 13,784.38/x
  3. Step 3: Cross multiply
    22,493.50x = 33,742.70 × 13,784.38
  4. Step 4: Simplify right side
    22,493.50x = 465,122,199.03
  5. Step 5: Solve for x
    x = 465,122,199.03/22,493.50
  6. Step 6: Final answer
    x = 20,678.07

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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.