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Finding the Fourth Proportional to 24,428.67, 36,644.49 and 6,899.82

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Solution

The fourth proportional to 24,428.67, 36,644.49 and 6,899.82 is: 10,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.67 : 36,644.49 = 6,899.82 : x
  2. Step 2: Convert to fraction form
    24,428.67/36,644.49 = 6,899.82/x
  3. Step 3: Cross multiply
    24,428.67x = 36,644.49 × 6,899.82
  4. Step 4: Simplify right side
    24,428.67x = 252,840,384.99
  5. Step 5: Solve for x
    x = 252,840,384.99/24,428.67
  6. Step 6: Final answer
    x = 10,350.15

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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.