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Finding the Fourth Proportional to 29,083.20, 43,559.16 and 13,468

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Solution

The fourth proportional to 29,083.20, 43,559.16 and 13,468 is: 20,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,083.20 : 43,559.16 = 13,468 : x
  2. Step 2: Convert to fraction form
    29,083.20/43,559.16 = 13,468/x
  3. Step 3: Cross multiply
    29,083.20x = 43,559.16 × 13,468
  4. Step 4: Simplify right side
    29,083.20x = 586,654,766.88
  5. Step 5: Solve for x
    x = 586,654,766.88/29,083.20
  6. Step 6: Final answer
    x = 20,171.60

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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.