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Finding the Fourth Proportional to 15,966.32, 22,034.16 and 9,251.84

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Solution

The fourth proportional to 15,966.32, 22,034.16 and 9,251.84 is: 12,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966.32 : 22,034.16 = 9,251.84 : x
  2. Step 2: Convert to fraction form
    15,966.32/22,034.16 = 9,251.84/x
  3. Step 3: Cross multiply
    15,966.32x = 22,034.16 × 9,251.84
  4. Step 4: Simplify right side
    15,966.32x = 203,856,522.85
  5. Step 5: Solve for x
    x = 203,856,522.85/15,966.32
  6. Step 6: Final answer
    x = 12,767.91

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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.