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Finding the Fourth Proportional to 16,287.76, 22,475.21 and 9,118.07

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Solution

The fourth proportional to 16,287.76, 22,475.21 and 9,118.07 is: 12,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.76 : 22,475.21 = 9,118.07 : x
  2. Step 2: Convert to fraction form
    16,287.76/22,475.21 = 9,118.07/x
  3. Step 3: Cross multiply
    16,287.76x = 22,475.21 × 9,118.07
  4. Step 4: Simplify right side
    16,287.76x = 204,930,538.04
  5. Step 5: Solve for x
    x = 204,930,538.04/16,287.76
  6. Step 6: Final answer
    x = 12,581.87

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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.