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Finding the Fourth Proportional to 20,064.13, 30,100.25 and 13,827.13

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Solution

The fourth proportional to 20,064.13, 30,100.25 and 13,827.13 is: 20,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064.13 : 30,100.25 = 13,827.13 : x
  2. Step 2: Convert to fraction form
    20,064.13/30,100.25 = 13,827.13/x
  3. Step 3: Cross multiply
    20,064.13x = 30,100.25 × 13,827.13
  4. Step 4: Simplify right side
    20,064.13x = 416,200,000.65
  5. Step 5: Solve for x
    x = 416,200,000.65/20,064.13
  6. Step 6: Final answer
    x = 20,743.49

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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.