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Finding the Fourth Proportional to 12,725.64, 17,561.52 and 7,691.76

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Solution

The fourth proportional to 12,725.64, 17,561.52 and 7,691.76 is: 10,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.64 : 17,561.52 = 7,691.76 : x
  2. Step 2: Convert to fraction form
    12,725.64/17,561.52 = 7,691.76/x
  3. Step 3: Cross multiply
    12,725.64x = 17,561.52 × 7,691.76
  4. Step 4: Simplify right side
    12,725.64x = 135,078,997.08
  5. Step 5: Solve for x
    x = 135,078,997.08/12,725.64
  6. Step 6: Final answer
    x = 10,614.71

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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.