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Finding the Fourth Proportional to 24,351.67, 36,528.88 and 6,822.87

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Solution

The fourth proportional to 24,351.67, 36,528.88 and 6,822.87 is: 10,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351.67 : 36,528.88 = 6,822.87 : x
  2. Step 2: Convert to fraction form
    24,351.67/36,528.88 = 6,822.87/x
  3. Step 3: Cross multiply
    24,351.67x = 36,528.88 × 6,822.87
  4. Step 4: Simplify right side
    24,351.67x = 249,231,799.49
  5. Step 5: Solve for x
    x = 249,231,799.49/24,351.67
  6. Step 6: Final answer
    x = 10,234.69

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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.