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Finding the Fourth Proportional to 23,839.57, 32,898.72 and 13,229.20

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Solution

The fourth proportional to 23,839.57, 32,898.72 and 13,229.20 is: 18,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.57 : 32,898.72 = 13,229.20 : x
  2. Step 2: Convert to fraction form
    23,839.57/32,898.72 = 13,229.20/x
  3. Step 3: Cross multiply
    23,839.57x = 32,898.72 × 13,229.20
  4. Step 4: Simplify right side
    23,839.57x = 435,223,746.62
  5. Step 5: Solve for x
    x = 435,223,746.62/23,839.57
  6. Step 6: Final answer
    x = 18,256.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.