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Finding the Fourth Proportional to 23,217.10, 34,801.82 and 9,171.44

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Solution

The fourth proportional to 23,217.10, 34,801.82 and 9,171.44 is: 13,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.10 : 34,801.82 = 9,171.44 : x
  2. Step 2: Convert to fraction form
    23,217.10/34,801.82 = 9,171.44/x
  3. Step 3: Cross multiply
    23,217.10x = 34,801.82 × 9,171.44
  4. Step 4: Simplify right side
    23,217.10x = 319,182,804.02
  5. Step 5: Solve for x
    x = 319,182,804.02/23,217.10
  6. Step 6: Final answer
    x = 13,747.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.