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Finding the Fourth Proportional to 29,709.52, 41,002.68 and 17,134

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Solution

The fourth proportional to 29,709.52, 41,002.68 and 17,134 is: 23,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.52 : 41,002.68 = 17,134 : x
  2. Step 2: Convert to fraction form
    29,709.52/41,002.68 = 17,134/x
  3. Step 3: Cross multiply
    29,709.52x = 41,002.68 × 17,134
  4. Step 4: Simplify right side
    29,709.52x = 702,539,919.12
  5. Step 5: Solve for x
    x = 702,539,919.12/29,709.52
  6. Step 6: Final answer
    x = 23,646.96

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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.