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Finding the Fourth Proportional to 24,472.31, 33,771.83 and 13,294.31

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Solution

The fourth proportional to 24,472.31, 33,771.83 and 13,294.31 is: 18,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.31 : 33,771.83 = 13,294.31 : x
  2. Step 2: Convert to fraction form
    24,472.31/33,771.83 = 13,294.31/x
  3. Step 3: Cross multiply
    24,472.31x = 33,771.83 × 13,294.31
  4. Step 4: Simplify right side
    24,472.31x = 448,973,195.25
  5. Step 5: Solve for x
    x = 448,973,195.25/24,472.31
  6. Step 6: Final answer
    x = 18,346.17

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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.