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Finding the Fourth Proportional to 16,244.97, 22,417.97 and 9,171.24

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Solution

The fourth proportional to 16,244.97, 22,417.97 and 9,171.24 is: 12,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.97 : 22,417.97 = 9,171.24 : x
  2. Step 2: Convert to fraction form
    16,244.97/22,417.97 = 9,171.24/x
  3. Step 3: Cross multiply
    16,244.97x = 22,417.97 × 9,171.24
  4. Step 4: Simplify right side
    16,244.97x = 205,600,537.33
  5. Step 5: Solve for x
    x = 205,600,537.33/16,244.97
  6. Step 6: Final answer
    x = 12,656.26

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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.