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Finding the Fourth Proportional to 24,649.78, 36,940.10 and 16,424.50

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Solution

The fourth proportional to 24,649.78, 36,940.10 and 16,424.50 is: 24,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.78 : 36,940.10 = 16,424.50 : x
  2. Step 2: Convert to fraction form
    24,649.78/36,940.10 = 16,424.50/x
  3. Step 3: Cross multiply
    24,649.78x = 36,940.10 × 16,424.50
  4. Step 4: Simplify right side
    24,649.78x = 606,722,672.45
  5. Step 5: Solve for x
    x = 606,722,672.45/24,649.78
  6. Step 6: Final answer
    x = 24,613.72

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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.