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Finding the Fourth Proportional to 12,233.20, 18,342.06 and 5,661.40

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Solution

The fourth proportional to 12,233.20, 18,342.06 and 5,661.40 is: 8,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.20 : 18,342.06 = 5,661.40 : x
  2. Step 2: Convert to fraction form
    12,233.20/18,342.06 = 5,661.40/x
  3. Step 3: Cross multiply
    12,233.20x = 18,342.06 × 5,661.40
  4. Step 4: Simplify right side
    12,233.20x = 103,841,738.48
  5. Step 5: Solve for x
    x = 103,841,738.48/12,233.20
  6. Step 6: Final answer
    x = 8,488.52

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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.