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Finding the Fourth Proportional to 12,233.40, 18,332.09 and 5,470.79

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Solution

The fourth proportional to 12,233.40, 18,332.09 and 5,470.79 is: 8,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.40 : 18,332.09 = 5,470.79 : x
  2. Step 2: Convert to fraction form
    12,233.40/18,332.09 = 5,470.79/x
  3. Step 3: Cross multiply
    12,233.40x = 18,332.09 × 5,470.79
  4. Step 4: Simplify right side
    12,233.40x = 100,291,019.27
  5. Step 5: Solve for x
    x = 100,291,019.27/12,233.40
  6. Step 6: Final answer
    x = 8,198.13

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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.