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Finding the Fourth Proportional to 22,892.38, 34,340.82 and 7,096.75

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Solution

The fourth proportional to 22,892.38, 34,340.82 and 7,096.75 is: 10,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.38 : 34,340.82 = 7,096.75 : x
  2. Step 2: Convert to fraction form
    22,892.38/34,340.82 = 7,096.75/x
  3. Step 3: Cross multiply
    22,892.38x = 34,340.82 × 7,096.75
  4. Step 4: Simplify right side
    22,892.38x = 243,708,214.34
  5. Step 5: Solve for x
    x = 243,708,214.34/22,892.38
  6. Step 6: Final answer
    x = 10,645.82

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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.