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Finding the Fourth Proportional to 17,140.90, 25,713.24 and 5,451.40

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Solution

The fourth proportional to 17,140.90, 25,713.24 and 5,451.40 is: 8,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.90 : 25,713.24 = 5,451.40 : x
  2. Step 2: Convert to fraction form
    17,140.90/25,713.24 = 5,451.40/x
  3. Step 3: Cross multiply
    17,140.90x = 25,713.24 × 5,451.40
  4. Step 4: Simplify right side
    17,140.90x = 140,173,156.54
  5. Step 5: Solve for x
    x = 140,173,156.54/17,140.90
  6. Step 6: Final answer
    x = 8,177.70

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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.