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Finding the Fourth Proportional to 12,760.32, 17,617.92 and 9,403.52

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Solution

The fourth proportional to 12,760.32, 17,617.92 and 9,403.52 is: 12,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.32 : 17,617.92 = 9,403.52 : x
  2. Step 2: Convert to fraction form
    12,760.32/17,617.92 = 9,403.52/x
  3. Step 3: Cross multiply
    12,760.32x = 17,617.92 × 9,403.52
  4. Step 4: Simplify right side
    12,760.32x = 165,670,463.08
  5. Step 5: Solve for x
    x = 165,670,463.08/12,760.32
  6. Step 6: Final answer
    x = 12,983.25

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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.