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Finding the Fourth Proportional to 23,232.69, 34,762.92 and 13,877.80

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Solution

The fourth proportional to 23,232.69, 34,762.92 and 13,877.80 is: 20,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.69 : 34,762.92 = 13,877.80 : x
  2. Step 2: Convert to fraction form
    23,232.69/34,762.92 = 13,877.80/x
  3. Step 3: Cross multiply
    23,232.69x = 34,762.92 × 13,877.80
  4. Step 4: Simplify right side
    23,232.69x = 482,432,851.18
  5. Step 5: Solve for x
    x = 482,432,851.18/23,232.69
  6. Step 6: Final answer
    x = 20,765.26

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