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Finding the Fourth Proportional to 24,564.89, 36,847.17 and 7,034.78

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Solution

The fourth proportional to 24,564.89, 36,847.17 and 7,034.78 is: 10,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.89 : 36,847.17 = 7,034.78 : x
  2. Step 2: Convert to fraction form
    24,564.89/36,847.17 = 7,034.78/x
  3. Step 3: Cross multiply
    24,564.89x = 36,847.17 × 7,034.78
  4. Step 4: Simplify right side
    24,564.89x = 259,211,550.34
  5. Step 5: Solve for x
    x = 259,211,550.34/24,564.89
  6. Step 6: Final answer
    x = 10,552.12

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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.