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Finding the Fourth Proportional to 24,472.98, 33,771.81 and 13,294.74

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Solution

The fourth proportional to 24,472.98, 33,771.81 and 13,294.74 is: 18,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.98 : 33,771.81 = 13,294.74 : x
  2. Step 2: Convert to fraction form
    24,472.98/33,771.81 = 13,294.74/x
  3. Step 3: Cross multiply
    24,472.98x = 33,771.81 × 13,294.74
  4. Step 4: Simplify right side
    24,472.98x = 448,987,433.28
  5. Step 5: Solve for x
    x = 448,987,433.28/24,472.98
  6. Step 6: Final answer
    x = 18,346.25

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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.