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Finding the Fourth Proportional to 24,223.38, 36,340.53 and 8,641

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Solution

The fourth proportional to 24,223.38, 36,340.53 and 8,641 is: 12,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.38 : 36,340.53 = 8,641 : x
  2. Step 2: Convert to fraction form
    24,223.38/36,340.53 = 8,641/x
  3. Step 3: Cross multiply
    24,223.38x = 36,340.53 × 8,641
  4. Step 4: Simplify right side
    24,223.38x = 314,018,519.73
  5. Step 5: Solve for x
    x = 314,018,519.73/24,223.38
  6. Step 6: Final answer
    x = 12,963.45

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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.