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Finding the Fourth Proportional to 24,811.78, 34,224.90 and 16,314.88

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Solution

The fourth proportional to 24,811.78, 34,224.90 and 16,314.88 is: 22,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.78 : 34,224.90 = 16,314.88 : x
  2. Step 2: Convert to fraction form
    24,811.78/34,224.90 = 16,314.88/x
  3. Step 3: Cross multiply
    24,811.78x = 34,224.90 × 16,314.88
  4. Step 4: Simplify right side
    24,811.78x = 558,375,136.51
  5. Step 5: Solve for x
    x = 558,375,136.51/24,811.78
  6. Step 6: Final answer
    x = 22,504.44

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1.5x scale

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.