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Finding the Fourth Proportional to 12,701.92, 17,528.70 and 7,400.38

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Solution

The fourth proportional to 12,701.92, 17,528.70 and 7,400.38 is: 10,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.92 : 17,528.70 = 7,400.38 : x
  2. Step 2: Convert to fraction form
    12,701.92/17,528.70 = 7,400.38/x
  3. Step 3: Cross multiply
    12,701.92x = 17,528.70 × 7,400.38
  4. Step 4: Simplify right side
    12,701.92x = 129,719,040.91
  5. Step 5: Solve for x
    x = 129,719,040.91/12,701.92
  6. Step 6: Final answer
    x = 10,212.55

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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.