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Finding the Fourth Proportional to 24,358.68, 33,616.49 and 13,749.30

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Solution

The fourth proportional to 24,358.68, 33,616.49 and 13,749.30 is: 18,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.68 : 33,616.49 = 13,749.30 : x
  2. Step 2: Convert to fraction form
    24,358.68/33,616.49 = 13,749.30/x
  3. Step 3: Cross multiply
    24,358.68x = 33,616.49 × 13,749.30
  4. Step 4: Simplify right side
    24,358.68x = 462,203,137.21
  5. Step 5: Solve for x
    x = 462,203,137.21/24,358.68
  6. Step 6: Final answer
    x = 18,974.88

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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.