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Finding the Fourth Proportional to 12,863.68, 17,753.60 and 7,275.84

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Solution

The fourth proportional to 12,863.68, 17,753.60 and 7,275.84 is: 10,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.68 : 17,753.60 = 7,275.84 : x
  2. Step 2: Convert to fraction form
    12,863.68/17,753.60 = 7,275.84/x
  3. Step 3: Cross multiply
    12,863.68x = 17,753.60 × 7,275.84
  4. Step 4: Simplify right side
    12,863.68x = 129,172,353.02
  5. Step 5: Solve for x
    x = 129,172,353.02/12,863.68
  6. Step 6: Final answer
    x = 10,041.63

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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.