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Finding the Fourth Proportional to 12,229.90, 18,332.70 and 5,984.80

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Solution

The fourth proportional to 12,229.90, 18,332.70 and 5,984.80 is: 8,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.90 : 18,332.70 = 5,984.80 : x
  2. Step 2: Convert to fraction form
    12,229.90/18,332.70 = 5,984.80/x
  3. Step 3: Cross multiply
    12,229.90x = 18,332.70 × 5,984.80
  4. Step 4: Simplify right side
    12,229.90x = 109,717,542.96
  5. Step 5: Solve for x
    x = 109,717,542.96/12,229.90
  6. Step 6: Final answer
    x = 8,971.25

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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.