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Finding the Fourth Proportional to 16,105.59, 22,225.94 and 9,731.29

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Solution

The fourth proportional to 16,105.59, 22,225.94 and 9,731.29 is: 13,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.59 : 22,225.94 = 9,731.29 : x
  2. Step 2: Convert to fraction form
    16,105.59/22,225.94 = 9,731.29/x
  3. Step 3: Cross multiply
    16,105.59x = 22,225.94 × 9,731.29
  4. Step 4: Simplify right side
    16,105.59x = 216,287,067.66
  5. Step 5: Solve for x
    x = 216,287,067.66/16,105.59
  6. Step 6: Final answer
    x = 13,429.32

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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.