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Finding the Fourth Proportional to 13,881.20, 20,827.20 and 6,084.52

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Solution

The fourth proportional to 13,881.20, 20,827.20 and 6,084.52 is: 9,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.20 : 20,827.20 = 6,084.52 : x
  2. Step 2: Convert to fraction form
    13,881.20/20,827.20 = 6,084.52/x
  3. Step 3: Cross multiply
    13,881.20x = 20,827.20 × 6,084.52
  4. Step 4: Simplify right side
    13,881.20x = 126,723,514.94
  5. Step 5: Solve for x
    x = 126,723,514.94/13,881.20
  6. Step 6: Final answer
    x = 9,129.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.