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Finding the Fourth Proportional to 24,378.39, 33,642 and 13,200.39

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Solution

The fourth proportional to 24,378.39, 33,642 and 13,200.39 is: 18,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.39 : 33,642 = 13,200.39 : x
  2. Step 2: Convert to fraction form
    24,378.39/33,642 = 13,200.39/x
  3. Step 3: Cross multiply
    24,378.39x = 33,642 × 13,200.39
  4. Step 4: Simplify right side
    24,378.39x = 444,087,520.38
  5. Step 5: Solve for x
    x = 444,087,520.38/24,378.39
  6. Step 6: Final answer
    x = 18,216.44

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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.