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Finding the Fourth Proportional to 12,125.14, 18,193.92 and 7,134.76

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Solution

The fourth proportional to 12,125.14, 18,193.92 and 7,134.76 is: 10,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.14 : 18,193.92 = 7,134.76 : x
  2. Step 2: Convert to fraction form
    12,125.14/18,193.92 = 7,134.76/x
  3. Step 3: Cross multiply
    12,125.14x = 18,193.92 × 7,134.76
  4. Step 4: Simplify right side
    12,125.14x = 129,809,252.66
  5. Step 5: Solve for x
    x = 129,809,252.66/12,125.14
  6. Step 6: Final answer
    x = 10,705.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.