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Finding the Fourth Proportional to 29,715.64, 41,013.68 and 17,138.68

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Solution

The fourth proportional to 29,715.64, 41,013.68 and 17,138.68 is: 23,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715.64 : 41,013.68 = 17,138.68 : x
  2. Step 2: Convert to fraction form
    29,715.64/41,013.68 = 17,138.68/x
  3. Step 3: Cross multiply
    29,715.64x = 41,013.68 × 17,138.68
  4. Step 4: Simplify right side
    29,715.64x = 702,920,337.14
  5. Step 5: Solve for x
    x = 702,920,337.14/29,715.64
  6. Step 6: Final answer
    x = 23,654.89

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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.