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Finding the Fourth Proportional to 23,711.32, 35,531.79 and 9,654.15

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Solution

The fourth proportional to 23,711.32, 35,531.79 and 9,654.15 is: 14,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.32 : 35,531.79 = 9,654.15 : x
  2. Step 2: Convert to fraction form
    23,711.32/35,531.79 = 9,654.15/x
  3. Step 3: Cross multiply
    23,711.32x = 35,531.79 × 9,654.15
  4. Step 4: Simplify right side
    23,711.32x = 343,029,354.62
  5. Step 5: Solve for x
    x = 343,029,354.62/23,711.32
  6. Step 6: Final answer
    x = 14,466.90

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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.