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Finding the Fourth Proportional to 24,516.58, 36,766.81 and 7,872.66

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Solution

The fourth proportional to 24,516.58, 36,766.81 and 7,872.66 is: 11,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.58 : 36,766.81 = 7,872.66 : x
  2. Step 2: Convert to fraction form
    24,516.58/36,766.81 = 7,872.66/x
  3. Step 3: Cross multiply
    24,516.58x = 36,766.81 × 7,872.66
  4. Step 4: Simplify right side
    24,516.58x = 289,452,594.41
  5. Step 5: Solve for x
    x = 289,452,594.41/24,516.58
  6. Step 6: Final answer
    x = 11,806.40

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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.