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Finding the Fourth Proportional to 12,165.74, 18,248.69 and 3,400.73

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Solution

The fourth proportional to 12,165.74, 18,248.69 and 3,400.73 is: 5,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.74 : 18,248.69 = 3,400.73 : x
  2. Step 2: Convert to fraction form
    12,165.74/18,248.69 = 3,400.73/x
  3. Step 3: Cross multiply
    12,165.74x = 18,248.69 × 3,400.73
  4. Step 4: Simplify right side
    12,165.74x = 62,058,867.54
  5. Step 5: Solve for x
    x = 62,058,867.54/12,165.74
  6. Step 6: Final answer
    x = 5,101.12

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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.