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Finding the Fourth Proportional to 15,115.84, 22,648.16 and 9,260.24

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Solution

The fourth proportional to 15,115.84, 22,648.16 and 9,260.24 is: 13,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.84 : 22,648.16 = 9,260.24 : x
  2. Step 2: Convert to fraction form
    15,115.84/22,648.16 = 9,260.24/x
  3. Step 3: Cross multiply
    15,115.84x = 22,648.16 × 9,260.24
  4. Step 4: Simplify right side
    15,115.84x = 209,727,397.16
  5. Step 5: Solve for x
    x = 209,727,397.16/15,115.84
  6. Step 6: Final answer
    x = 13,874.68

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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.