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Finding the Fourth Proportional to 24,376.78, 33,639.96 and 13,198.78

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Solution

The fourth proportional to 24,376.78, 33,639.96 and 13,198.78 is: 18,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.78 : 33,639.96 = 13,198.78 : x
  2. Step 2: Convert to fraction form
    24,376.78/33,639.96 = 13,198.78/x
  3. Step 3: Cross multiply
    24,376.78x = 33,639.96 × 13,198.78
  4. Step 4: Simplify right side
    24,376.78x = 444,006,431.25
  5. Step 5: Solve for x
    x = 444,006,431.25/24,376.78
  6. Step 6: Final answer
    x = 18,214.32

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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.