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Finding the Fourth Proportional to 24,472.25, 33,771.71 and 13,294.25

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Solution

The fourth proportional to 24,472.25, 33,771.71 and 13,294.25 is: 18,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.25 : 33,771.71 = 13,294.25 : x
  2. Step 2: Convert to fraction form
    24,472.25/33,771.71 = 13,294.25/x
  3. Step 3: Cross multiply
    24,472.25x = 33,771.71 × 13,294.25
  4. Step 4: Simplify right side
    24,472.25x = 448,969,489.20
  5. Step 5: Solve for x
    x = 448,969,489.20/24,472.25
  6. Step 6: Final answer
    x = 18,346.07

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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.