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Finding the Fourth Proportional to 20,191.30, 30,250.95 and 9,780.10

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Solution

The fourth proportional to 20,191.30, 30,250.95 and 9,780.10 is: 14,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.30 : 30,250.95 = 9,780.10 : x
  2. Step 2: Convert to fraction form
    20,191.30/30,250.95 = 9,780.10/x
  3. Step 3: Cross multiply
    20,191.30x = 30,250.95 × 9,780.10
  4. Step 4: Simplify right side
    20,191.30x = 295,857,316.10
  5. Step 5: Solve for x
    x = 295,857,316.10/20,191.30
  6. Step 6: Final answer
    x = 14,652.71

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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.