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Finding the Fourth Proportional to 12,031.24, 16,603.92 and 6,727

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Solution

The fourth proportional to 12,031.24, 16,603.92 and 6,727 is: 9,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.24 : 16,603.92 = 6,727 : x
  2. Step 2: Convert to fraction form
    12,031.24/16,603.92 = 6,727/x
  3. Step 3: Cross multiply
    12,031.24x = 16,603.92 × 6,727
  4. Step 4: Simplify right side
    12,031.24x = 111,694,569.84
  5. Step 5: Solve for x
    x = 111,694,569.84/12,031.24
  6. Step 6: Final answer
    x = 9,283.71

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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.