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Finding the Fourth Proportional to 24,222.38, 36,339.03 and 8,640

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Solution

The fourth proportional to 24,222.38, 36,339.03 and 8,640 is: 12,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,222.38 : 36,339.03 = 8,640 : x
  2. Step 2: Convert to fraction form
    24,222.38/36,339.03 = 8,640/x
  3. Step 3: Cross multiply
    24,222.38x = 36,339.03 × 8,640
  4. Step 4: Simplify right side
    24,222.38x = 313,969,219.20
  5. Step 5: Solve for x
    x = 313,969,219.20/24,222.38
  6. Step 6: Final answer
    x = 12,961.95

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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.