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Finding the Fourth Proportional to 24,472.28, 33,771.74 and 13,294.28

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Solution

The fourth proportional to 24,472.28, 33,771.74 and 13,294.28 is: 18,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.28 : 33,771.74 = 13,294.28 : x
  2. Step 2: Convert to fraction form
    24,472.28/33,771.74 = 13,294.28/x
  3. Step 3: Cross multiply
    24,472.28x = 33,771.74 × 13,294.28
  4. Step 4: Simplify right side
    24,472.28x = 448,970,967.65
  5. Step 5: Solve for x
    x = 448,970,967.65/24,472.28
  6. Step 6: Final answer
    x = 18,346.10

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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.