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Finding the Fourth Proportional to 16,285.56, 22,475.15 and 9,116.13

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Solution

The fourth proportional to 16,285.56, 22,475.15 and 9,116.13 is: 12,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.56 : 22,475.15 = 9,116.13 : x
  2. Step 2: Convert to fraction form
    16,285.56/22,475.15 = 9,116.13/x
  3. Step 3: Cross multiply
    16,285.56x = 22,475.15 × 9,116.13
  4. Step 4: Simplify right side
    16,285.56x = 204,886,343.59
  5. Step 5: Solve for x
    x = 204,886,343.59/16,285.56
  6. Step 6: Final answer
    x = 12,580.86

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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.