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Finding the Fourth Proportional to 12,818.88, 17,693.76 and 7,513.92

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Solution

The fourth proportional to 12,818.88, 17,693.76 and 7,513.92 is: 10,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.88 : 17,693.76 = 7,513.92 : x
  2. Step 2: Convert to fraction form
    12,818.88/17,693.76 = 7,513.92/x
  3. Step 3: Cross multiply
    12,818.88x = 17,693.76 × 7,513.92
  4. Step 4: Simplify right side
    12,818.88x = 132,949,497.14
  5. Step 5: Solve for x
    x = 132,949,497.14/12,818.88
  6. Step 6: Final answer
    x = 10,371.38

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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.