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Finding the Fourth Proportional to 16,566.12, 22,864.14 and 9,491.16

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Solution

The fourth proportional to 16,566.12, 22,864.14 and 9,491.16 is: 13,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,566.12 : 22,864.14 = 9,491.16 : x
  2. Step 2: Convert to fraction form
    16,566.12/22,864.14 = 9,491.16/x
  3. Step 3: Cross multiply
    16,566.12x = 22,864.14 × 9,491.16
  4. Step 4: Simplify right side
    16,566.12x = 217,007,211.00
  5. Step 5: Solve for x
    x = 217,007,211.00/16,566.12
  6. Step 6: Final answer
    x = 13,099.46

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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.