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Finding the Fourth Proportional to 12,134.61, 18,194.49 and 5,562.81

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Solution

The fourth proportional to 12,134.61, 18,194.49 and 5,562.81 is: 8,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.61 : 18,194.49 = 5,562.81 : x
  2. Step 2: Convert to fraction form
    12,134.61/18,194.49 = 5,562.81/x
  3. Step 3: Cross multiply
    12,134.61x = 18,194.49 × 5,562.81
  4. Step 4: Simplify right side
    12,134.61x = 101,212,490.92
  5. Step 5: Solve for x
    x = 101,212,490.92/12,134.61
  6. Step 6: Final answer
    x = 8,340.81

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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.