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Finding the Fourth Proportional to 24,376.74, 33,639.96 and 13,198.74

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Solution

The fourth proportional to 24,376.74, 33,639.96 and 13,198.74 is: 18,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.74 : 33,639.96 = 13,198.74 : x
  2. Step 2: Convert to fraction form
    24,376.74/33,639.96 = 13,198.74/x
  3. Step 3: Cross multiply
    24,376.74x = 33,639.96 × 13,198.74
  4. Step 4: Simplify right side
    24,376.74x = 444,005,085.65
  5. Step 5: Solve for x
    x = 444,005,085.65/24,376.74
  6. Step 6: Final answer
    x = 18,214.29

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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.