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Finding the Fourth Proportional to 24,274.76, 36,414.11 and 6,744.59

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Solution

The fourth proportional to 24,274.76, 36,414.11 and 6,744.59 is: 10,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.76 : 36,414.11 = 6,744.59 : x
  2. Step 2: Convert to fraction form
    24,274.76/36,414.11 = 6,744.59/x
  3. Step 3: Cross multiply
    24,274.76x = 36,414.11 × 6,744.59
  4. Step 4: Simplify right side
    24,274.76x = 245,598,208.44
  5. Step 5: Solve for x
    x = 245,598,208.44/24,274.76
  6. Step 6: Final answer
    x = 10,117.43

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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.