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Finding the Fourth Proportional to 22,892.46, 34,338.80 and 8,101.40

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Solution

The fourth proportional to 22,892.46, 34,338.80 and 8,101.40 is: 12,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.46 : 34,338.80 = 8,101.40 : x
  2. Step 2: Convert to fraction form
    22,892.46/34,338.80 = 8,101.40/x
  3. Step 3: Cross multiply
    22,892.46x = 34,338.80 × 8,101.40
  4. Step 4: Simplify right side
    22,892.46x = 278,192,354.32
  5. Step 5: Solve for x
    x = 278,192,354.32/22,892.46
  6. Step 6: Final answer
    x = 12,152.14

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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.