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Finding the Fourth Proportional to 24,378.82, 33,642.74 and 13,200.82

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Solution

The fourth proportional to 24,378.82, 33,642.74 and 13,200.82 is: 18,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.82 : 33,642.74 = 13,200.82 : x
  2. Step 2: Convert to fraction form
    24,378.82/33,642.74 = 13,200.82/x
  3. Step 3: Cross multiply
    24,378.82x = 33,642.74 × 13,200.82
  4. Step 4: Simplify right side
    24,378.82x = 444,111,755.05
  5. Step 5: Solve for x
    x = 444,111,755.05/24,378.82
  6. Step 6: Final answer
    x = 18,217.11

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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.