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Finding the Fourth Proportional to 24,568.32, 36,851.20 and 7,928.04

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Solution

The fourth proportional to 24,568.32, 36,851.20 and 7,928.04 is: 11,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,568.32 : 36,851.20 = 7,928.04 : x
  2. Step 2: Convert to fraction form
    24,568.32/36,851.20 = 7,928.04/x
  3. Step 3: Cross multiply
    24,568.32x = 36,851.20 × 7,928.04
  4. Step 4: Simplify right side
    24,568.32x = 292,157,787.65
  5. Step 5: Solve for x
    x = 292,157,787.65/24,568.32
  6. Step 6: Final answer
    x = 11,891.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.