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Finding the Fourth Proportional to 24,145.92, 33,324.42 and 14,074.80

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Solution

The fourth proportional to 24,145.92, 33,324.42 and 14,074.80 is: 19,425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.92 : 33,324.42 = 14,074.80 : x
  2. Step 2: Convert to fraction form
    24,145.92/33,324.42 = 14,074.80/x
  3. Step 3: Cross multiply
    24,145.92x = 33,324.42 × 14,074.80
  4. Step 4: Simplify right side
    24,145.92x = 469,034,546.62
  5. Step 5: Solve for x
    x = 469,034,546.62/24,145.92
  6. Step 6: Final answer
    x = 19,425.00

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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.