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Finding the Fourth Proportional to 16,046.32, 22,146.00 and 9,917.81

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Solution

The fourth proportional to 16,046.32, 22,146.00 and 9,917.81 is: 13,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.32 : 22,146.00 = 9,917.81 : x
  2. Step 2: Convert to fraction form
    16,046.32/22,146.00 = 9,917.81/x
  3. Step 3: Cross multiply
    16,046.32x = 22,146.00 × 9,917.81
  4. Step 4: Simplify right side
    16,046.32x = 219,639,841.24
  5. Step 5: Solve for x
    x = 219,639,841.24/16,046.32
  6. Step 6: Final answer
    x = 13,687.86

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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.