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Finding the Fourth Proportional to 20,188.10, 30,278.10 and 9,658.10

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Solution

The fourth proportional to 20,188.10, 30,278.10 and 9,658.10 is: 14,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.10 : 30,278.10 = 9,658.10 : x
  2. Step 2: Convert to fraction form
    20,188.10/30,278.10 = 9,658.10/x
  3. Step 3: Cross multiply
    20,188.10x = 30,278.10 × 9,658.10
  4. Step 4: Simplify right side
    20,188.10x = 292,428,917.61
  5. Step 5: Solve for x
    x = 292,428,917.61/20,188.10
  6. Step 6: Final answer
    x = 14,485.21

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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.