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Finding the Fourth Proportional to 12,851.68, 17,732.64 and 8,134.24

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Solution

The fourth proportional to 12,851.68, 17,732.64 and 8,134.24 is: 11,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.68 : 17,732.64 = 8,134.24 : x
  2. Step 2: Convert to fraction form
    12,851.68/17,732.64 = 8,134.24/x
  3. Step 3: Cross multiply
    12,851.68x = 17,732.64 × 8,134.24
  4. Step 4: Simplify right side
    12,851.68x = 144,241,549.59
  5. Step 5: Solve for x
    x = 144,241,549.59/12,851.68
  6. Step 6: Final answer
    x = 11,223.56

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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.