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Finding the Fourth Proportional to 24,348.50, 36,524.84 and 8,552.16

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Solution

The fourth proportional to 24,348.50, 36,524.84 and 8,552.16 is: 12,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348.50 : 36,524.84 = 8,552.16 : x
  2. Step 2: Convert to fraction form
    24,348.50/36,524.84 = 8,552.16/x
  3. Step 3: Cross multiply
    24,348.50x = 36,524.84 × 8,552.16
  4. Step 4: Simplify right side
    24,348.50x = 312,366,232.89
  5. Step 5: Solve for x
    x = 312,366,232.89/24,348.50
  6. Step 6: Final answer
    x = 12,828.97

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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.