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Finding the Fourth Proportional to 24,809.14, 37,219.48 and 8,169.32

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Solution

The fourth proportional to 24,809.14, 37,219.48 and 8,169.32 is: 12,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.14 : 37,219.48 = 8,169.32 : x
  2. Step 2: Convert to fraction form
    24,809.14/37,219.48 = 8,169.32/x
  3. Step 3: Cross multiply
    24,809.14x = 37,219.48 × 8,169.32
  4. Step 4: Simplify right side
    24,809.14x = 304,057,868.17
  5. Step 5: Solve for x
    x = 304,057,868.17/24,809.14
  6. Step 6: Final answer
    x = 12,255.88

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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.