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Finding the Fourth Proportional to 17,280.68, 25,914.53 and 7,414.88

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Solution

The fourth proportional to 17,280.68, 25,914.53 and 7,414.88 is: 11,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280.68 : 25,914.53 = 7,414.88 : x
  2. Step 2: Convert to fraction form
    17,280.68/25,914.53 = 7,414.88/x
  3. Step 3: Cross multiply
    17,280.68x = 25,914.53 × 7,414.88
  4. Step 4: Simplify right side
    17,280.68x = 192,153,019.17
  5. Step 5: Solve for x
    x = 192,153,019.17/17,280.68
  6. Step 6: Final answer
    x = 11,119.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.