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Finding the Fourth Proportional to 12,042.42, 16,619.36 and 6,737.73

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Solution

The fourth proportional to 12,042.42, 16,619.36 and 6,737.73 is: 9,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.42 : 16,619.36 = 6,737.73 : x
  2. Step 2: Convert to fraction form
    12,042.42/16,619.36 = 6,737.73/x
  3. Step 3: Cross multiply
    12,042.42x = 16,619.36 × 6,737.73
  4. Step 4: Simplify right side
    12,042.42x = 111,976,726.76
  5. Step 5: Solve for x
    x = 111,976,726.76/12,042.42
  6. Step 6: Final answer
    x = 9,298.52

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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.