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Finding the Fourth Proportional to 12,042.21, 16,619.92 and 6,737.38

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Solution

The fourth proportional to 12,042.21, 16,619.92 and 6,737.38 is: 9,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.21 : 16,619.92 = 6,737.38 : x
  2. Step 2: Convert to fraction form
    12,042.21/16,619.92 = 6,737.38/x
  3. Step 3: Cross multiply
    12,042.21x = 16,619.92 × 6,737.38
  4. Step 4: Simplify right side
    12,042.21x = 111,974,716.61
  5. Step 5: Solve for x
    x = 111,974,716.61/12,042.21
  6. Step 6: Final answer
    x = 9,298.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.