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Finding the Fourth Proportional to 24,208.44, 36,313.68 and 7,568.78

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Solution

The fourth proportional to 24,208.44, 36,313.68 and 7,568.78 is: 11,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.44 : 36,313.68 = 7,568.78 : x
  2. Step 2: Convert to fraction form
    24,208.44/36,313.68 = 7,568.78/x
  3. Step 3: Cross multiply
    24,208.44x = 36,313.68 × 7,568.78
  4. Step 4: Simplify right side
    24,208.44x = 274,850,254.91
  5. Step 5: Solve for x
    x = 274,850,254.91/24,208.44
  6. Step 6: Final answer
    x = 11,353.49

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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.