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Finding the Fourth Proportional to 22,790.38, 34,189.21 and 9,642.86

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Solution

The fourth proportional to 22,790.38, 34,189.21 and 9,642.86 is: 14,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,790.38 : 34,189.21 = 9,642.86 : x
  2. Step 2: Convert to fraction form
    22,790.38/34,189.21 = 9,642.86/x
  3. Step 3: Cross multiply
    22,790.38x = 34,189.21 × 9,642.86
  4. Step 4: Simplify right side
    22,790.38x = 329,681,765.54
  5. Step 5: Solve for x
    x = 329,681,765.54/22,790.38
  6. Step 6: Final answer
    x = 14,465.83

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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.