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Finding the Fourth Proportional to 17,732.31, 24,469.68 and 9,774.36

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Solution

The fourth proportional to 17,732.31, 24,469.68 and 9,774.36 is: 13,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.31 : 24,469.68 = 9,774.36 : x
  2. Step 2: Convert to fraction form
    17,732.31/24,469.68 = 9,774.36/x
  3. Step 3: Cross multiply
    17,732.31x = 24,469.68 × 9,774.36
  4. Step 4: Simplify right side
    17,732.31x = 239,175,461.40
  5. Step 5: Solve for x
    x = 239,175,461.40/17,732.31
  6. Step 6: Final answer
    x = 13,488.12

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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.