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Finding the Fourth Proportional to 17,416.92, 26,129.16 and 5,729.70

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Solution

The fourth proportional to 17,416.92, 26,129.16 and 5,729.70 is: 8,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.92 : 26,129.16 = 5,729.70 : x
  2. Step 2: Convert to fraction form
    17,416.92/26,129.16 = 5,729.70/x
  3. Step 3: Cross multiply
    17,416.92x = 26,129.16 × 5,729.70
  4. Step 4: Simplify right side
    17,416.92x = 149,712,248.05
  5. Step 5: Solve for x
    x = 149,712,248.05/17,416.92
  6. Step 6: Final answer
    x = 8,595.79

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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.