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Finding the Fourth Proportional to 12,753.64, 17,575.14 and 10,391.68

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Solution

The fourth proportional to 12,753.64, 17,575.14 and 10,391.68 is: 14,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.64 : 17,575.14 = 10,391.68 : x
  2. Step 2: Convert to fraction form
    12,753.64/17,575.14 = 10,391.68/x
  3. Step 3: Cross multiply
    12,753.64x = 17,575.14 × 10,391.68
  4. Step 4: Simplify right side
    12,753.64x = 182,635,230.84
  5. Step 5: Solve for x
    x = 182,635,230.84/12,753.64
  6. Step 6: Final answer
    x = 14,320.24

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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.