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Finding the Fourth Proportional to 24,101.24, 36,147 and 6,568.79

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Solution

The fourth proportional to 24,101.24, 36,147 and 6,568.79 is: 9,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.24 : 36,147 = 6,568.79 : x
  2. Step 2: Convert to fraction form
    24,101.24/36,147 = 6,568.79/x
  3. Step 3: Cross multiply
    24,101.24x = 36,147 × 6,568.79
  4. Step 4: Simplify right side
    24,101.24x = 237,442,052.13
  5. Step 5: Solve for x
    x = 237,442,052.13/24,101.24
  6. Step 6: Final answer
    x = 9,851.86

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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.