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Finding the Fourth Proportional to 12,983.68, 17,915.52 and 7,393.92

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Solution

The fourth proportional to 12,983.68, 17,915.52 and 7,393.92 is: 10,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.68 : 17,915.52 = 7,393.92 : x
  2. Step 2: Convert to fraction form
    12,983.68/17,915.52 = 7,393.92/x
  3. Step 3: Cross multiply
    12,983.68x = 17,915.52 × 7,393.92
  4. Step 4: Simplify right side
    12,983.68x = 132,465,921.64
  5. Step 5: Solve for x
    x = 132,465,921.64/12,983.68
  6. Step 6: Final answer
    x = 10,202.49

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