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Finding the Fourth Proportional to 24,074.74, 33,209.22 and 14,508.10

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Solution

The fourth proportional to 24,074.74, 33,209.22 and 14,508.10 is: 20,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.74 : 33,209.22 = 14,508.10 : x
  2. Step 2: Convert to fraction form
    24,074.74/33,209.22 = 14,508.10/x
  3. Step 3: Cross multiply
    24,074.74x = 33,209.22 × 14,508.10
  4. Step 4: Simplify right side
    24,074.74x = 481,802,684.68
  5. Step 5: Solve for x
    x = 481,802,684.68/24,074.74
  6. Step 6: Final answer
    x = 20,012.79

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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.