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Finding the Fourth Proportional to 22,789.74, 34,181.87 and 6,148.49

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Solution

The fourth proportional to 22,789.74, 34,181.87 and 6,148.49 is: 9,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,789.74 : 34,181.87 = 6,148.49 : x
  2. Step 2: Convert to fraction form
    22,789.74/34,181.87 = 6,148.49/x
  3. Step 3: Cross multiply
    22,789.74x = 34,181.87 × 6,148.49
  4. Step 4: Simplify right side
    22,789.74x = 210,166,684.22
  5. Step 5: Solve for x
    x = 210,166,684.22/22,789.74
  6. Step 6: Final answer
    x = 9,221.99

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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.