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Finding the Fourth Proportional to 22,452.70, 30,986.80 and 12,893.84

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Solution

The fourth proportional to 22,452.70, 30,986.80 and 12,893.84 is: 17,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.70 : 30,986.80 = 12,893.84 : x
  2. Step 2: Convert to fraction form
    22,452.70/30,986.80 = 12,893.84/x
  3. Step 3: Cross multiply
    22,452.70x = 30,986.80 × 12,893.84
  4. Step 4: Simplify right side
    22,452.70x = 399,538,731.61
  5. Step 5: Solve for x
    x = 399,538,731.61/22,452.70
  6. Step 6: Final answer
    x = 17,794.69

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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.