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Finding the Fourth Proportional to 24,256.96, 36,381.40 and 6,728.56

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Solution

The fourth proportional to 24,256.96, 36,381.40 and 6,728.56 is: 10,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256.96 : 36,381.40 = 6,728.56 : x
  2. Step 2: Convert to fraction form
    24,256.96/36,381.40 = 6,728.56/x
  3. Step 3: Cross multiply
    24,256.96x = 36,381.40 × 6,728.56
  4. Step 4: Simplify right side
    24,256.96x = 244,794,432.78
  5. Step 5: Solve for x
    x = 244,794,432.78/24,256.96
  6. Step 6: Final answer
    x = 10,091.72

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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.