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Finding the Fourth Proportional to 27,491.32, 41,258.84 and 9,966.16

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Solution

The fourth proportional to 27,491.32, 41,258.84 and 9,966.16 is: 14,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,491.32 : 41,258.84 = 9,966.16 : x
  2. Step 2: Convert to fraction form
    27,491.32/41,258.84 = 9,966.16/x
  3. Step 3: Cross multiply
    27,491.32x = 41,258.84 × 9,966.16
  4. Step 4: Simplify right side
    27,491.32x = 411,192,200.85
  5. Step 5: Solve for x
    x = 411,192,200.85/27,491.32
  6. Step 6: Final answer
    x = 14,957.16

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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.