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Finding the Fourth Proportional to 12,717.52, 17,551.24 and 7,414

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Solution

The fourth proportional to 12,717.52, 17,551.24 and 7,414 is: 10,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.52 : 17,551.24 = 7,414 : x
  2. Step 2: Convert to fraction form
    12,717.52/17,551.24 = 7,414/x
  3. Step 3: Cross multiply
    12,717.52x = 17,551.24 × 7,414
  4. Step 4: Simplify right side
    12,717.52x = 130,124,893.36
  5. Step 5: Solve for x
    x = 130,124,893.36/12,717.52
  6. Step 6: Final answer
    x = 10,231.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.