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Finding the Fourth Proportional to 24,195.87, 33,384.84 and 13,584.80

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Solution

The fourth proportional to 24,195.87, 33,384.84 and 13,584.80 is: 18,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195.87 : 33,384.84 = 13,584.80 : x
  2. Step 2: Convert to fraction form
    24,195.87/33,384.84 = 13,584.80/x
  3. Step 3: Cross multiply
    24,195.87x = 33,384.84 × 13,584.80
  4. Step 4: Simplify right side
    24,195.87x = 453,526,207.51
  5. Step 5: Solve for x
    x = 453,526,207.51/24,195.87
  6. Step 6: Final answer
    x = 18,743.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.