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Finding the Fourth Proportional to 22,833.74, 34,250.61 and 6,193.78

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Solution

The fourth proportional to 22,833.74, 34,250.61 and 6,193.78 is: 9,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.74 : 34,250.61 = 6,193.78 : x
  2. Step 2: Convert to fraction form
    22,833.74/34,250.61 = 6,193.78/x
  3. Step 3: Cross multiply
    22,833.74x = 34,250.61 × 6,193.78
  4. Step 4: Simplify right side
    22,833.74x = 212,140,743.21
  5. Step 5: Solve for x
    x = 212,140,743.21/22,833.74
  6. Step 6: Final answer
    x = 9,290.67

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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.