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Finding the Fourth Proportional to 17,116.92, 25,679.70 and 5,430.24

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Solution

The fourth proportional to 17,116.92, 25,679.70 and 5,430.24 is: 8,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.92 : 25,679.70 = 5,430.24 : x
  2. Step 2: Convert to fraction form
    17,116.92/25,679.70 = 5,430.24/x
  3. Step 3: Cross multiply
    17,116.92x = 25,679.70 × 5,430.24
  4. Step 4: Simplify right side
    17,116.92x = 139,446,934.13
  5. Step 5: Solve for x
    x = 139,446,934.13/17,116.92
  6. Step 6: Final answer
    x = 8,146.73

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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.