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Finding the Fourth Proportional to 29,914, 41,281.50 and 17,167.72

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Solution

The fourth proportional to 29,914, 41,281.50 and 17,167.72 is: 23,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,914 : 41,281.50 = 17,167.72 : x
  2. Step 2: Convert to fraction form
    29,914/41,281.50 = 17,167.72/x
  3. Step 3: Cross multiply
    29,914x = 41,281.50 × 17,167.72
  4. Step 4: Simplify right side
    29,914x = 708,709,233.18
  5. Step 5: Solve for x
    x = 708,709,233.18/29,914
  6. Step 6: Final answer
    x = 23,691.56

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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.