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Finding the Fourth Proportional to 24,868, 34,324.24 and 14,263.44

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Solution

The fourth proportional to 24,868, 34,324.24 and 14,263.44 is: 19,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868 : 34,324.24 = 14,263.44 : x
  2. Step 2: Convert to fraction form
    24,868/34,324.24 = 14,263.44/x
  3. Step 3: Cross multiply
    24,868x = 34,324.24 × 14,263.44
  4. Step 4: Simplify right side
    24,868x = 489,581,737.79
  5. Step 5: Solve for x
    x = 489,581,737.79/24,868
  6. Step 6: Final answer
    x = 19,687.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.