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Finding the Fourth Proportional to 20,125.67, 30,188.50 and 7,642.76

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Solution

The fourth proportional to 20,125.67, 30,188.50 and 7,642.76 is: 11,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.67 : 30,188.50 = 7,642.76 : x
  2. Step 2: Convert to fraction form
    20,125.67/30,188.50 = 7,642.76/x
  3. Step 3: Cross multiply
    20,125.67x = 30,188.50 × 7,642.76
  4. Step 4: Simplify right side
    20,125.67x = 230,723,290.21
  5. Step 5: Solve for x
    x = 230,723,290.21/20,125.67
  6. Step 6: Final answer
    x = 11,464.13

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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.