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Finding the Fourth Proportional to 24,530.92, 36,792.54 and 8,114.92

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Solution

The fourth proportional to 24,530.92, 36,792.54 and 8,114.92 is: 12,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.92 : 36,792.54 = 8,114.92 : x
  2. Step 2: Convert to fraction form
    24,530.92/36,792.54 = 8,114.92/x
  3. Step 3: Cross multiply
    24,530.92x = 36,792.54 × 8,114.92
  4. Step 4: Simplify right side
    24,530.92x = 298,568,518.70
  5. Step 5: Solve for x
    x = 298,568,518.70/24,530.92
  6. Step 6: Final answer
    x = 12,171.11

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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.