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Finding the Fourth Proportional to 12,406.88, 18,610.41 and 3,641.92

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Solution

The fourth proportional to 12,406.88, 18,610.41 and 3,641.92 is: 5,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.88 : 18,610.41 = 3,641.92 : x
  2. Step 2: Convert to fraction form
    12,406.88/18,610.41 = 3,641.92/x
  3. Step 3: Cross multiply
    12,406.88x = 18,610.41 × 3,641.92
  4. Step 4: Simplify right side
    12,406.88x = 67,777,624.39
  5. Step 5: Solve for x
    x = 67,777,624.39/12,406.88
  6. Step 6: Final answer
    x = 5,462.91

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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.