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Finding the Fourth Proportional to 24,783.72, 34,200.53 and 13,452.78

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Solution

The fourth proportional to 24,783.72, 34,200.53 and 13,452.78 is: 18,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.72 : 34,200.53 = 13,452.78 : x
  2. Step 2: Convert to fraction form
    24,783.72/34,200.53 = 13,452.78/x
  3. Step 3: Cross multiply
    24,783.72x = 34,200.53 × 13,452.78
  4. Step 4: Simplify right side
    24,783.72x = 460,092,317.41
  5. Step 5: Solve for x
    x = 460,092,317.41/24,783.72
  6. Step 6: Final answer
    x = 18,564.29

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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.