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Finding the Fourth Proportional to 20,115.80, 30,177.06 and 8,429.90

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Solution

The fourth proportional to 20,115.80, 30,177.06 and 8,429.90 is: 12,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.80 : 30,177.06 = 8,429.90 : x
  2. Step 2: Convert to fraction form
    20,115.80/30,177.06 = 8,429.90/x
  3. Step 3: Cross multiply
    20,115.80x = 30,177.06 × 8,429.90
  4. Step 4: Simplify right side
    20,115.80x = 254,389,598.09
  5. Step 5: Solve for x
    x = 254,389,598.09/20,115.80
  6. Step 6: Final answer
    x = 12,646.26

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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.