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Finding the Fourth Proportional to 24,266.80, 33,486.76 and 13,656

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Solution

The fourth proportional to 24,266.80, 33,486.76 and 13,656 is: 18,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266.80 : 33,486.76 = 13,656 : x
  2. Step 2: Convert to fraction form
    24,266.80/33,486.76 = 13,656/x
  3. Step 3: Cross multiply
    24,266.80x = 33,486.76 × 13,656
  4. Step 4: Simplify right side
    24,266.80x = 457,295,194.56
  5. Step 5: Solve for x
    x = 457,295,194.56/24,266.80
  6. Step 6: Final answer
    x = 18,844.48

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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.