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Finding the Fourth Proportional to 16,287.14, 22,476.76 and 9,116.94

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Solution

The fourth proportional to 16,287.14, 22,476.76 and 9,116.94 is: 12,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.14 : 22,476.76 = 9,116.94 : x
  2. Step 2: Convert to fraction form
    16,287.14/22,476.76 = 9,116.94/x
  3. Step 3: Cross multiply
    16,287.14x = 22,476.76 × 9,116.94
  4. Step 4: Simplify right side
    16,287.14x = 204,919,272.31
  5. Step 5: Solve for x
    x = 204,919,272.31/16,287.14
  6. Step 6: Final answer
    x = 12,581.66

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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.