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Finding the Fourth Proportional to 17,140.65, 25,712.81 and 5,451.14

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Solution

The fourth proportional to 17,140.65, 25,712.81 and 5,451.14 is: 8,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.65 : 25,712.81 = 5,451.14 : x
  2. Step 2: Convert to fraction form
    17,140.65/25,712.81 = 5,451.14/x
  3. Step 3: Cross multiply
    17,140.65x = 25,712.81 × 5,451.14
  4. Step 4: Simplify right side
    17,140.65x = 140,163,971.28
  5. Step 5: Solve for x
    x = 140,163,971.28/17,140.65
  6. Step 6: Final answer
    x = 8,177.28

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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.