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Finding the Fourth Proportional to 17,761.30, 24,512.54 and 10,207.96

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Solution

The fourth proportional to 17,761.30, 24,512.54 and 10,207.96 is: 14,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.30 : 24,512.54 = 10,207.96 : x
  2. Step 2: Convert to fraction form
    17,761.30/24,512.54 = 10,207.96/x
  3. Step 3: Cross multiply
    17,761.30x = 24,512.54 × 10,207.96
  4. Step 4: Simplify right side
    17,761.30x = 250,222,915.50
  5. Step 5: Solve for x
    x = 250,222,915.50/17,761.30
  6. Step 6: Final answer
    x = 14,088.10

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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.