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Finding the Fourth Proportional to 16,171.94, 22,318.25 and 9,098.88

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Solution

The fourth proportional to 16,171.94, 22,318.25 and 9,098.88 is: 12,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.94 : 22,318.25 = 9,098.88 : x
  2. Step 2: Convert to fraction form
    16,171.94/22,318.25 = 9,098.88/x
  3. Step 3: Cross multiply
    16,171.94x = 22,318.25 × 9,098.88
  4. Step 4: Simplify right side
    16,171.94x = 203,071,033.07
  5. Step 5: Solve for x
    x = 203,071,033.07/16,171.94
  6. Step 6: Final answer
    x = 12,557.00

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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.