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Finding the Fourth Proportional to 24,199.43, 33,406.44 and 16,146.47

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Solution

The fourth proportional to 24,199.43, 33,406.44 and 16,146.47 is: 22,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.43 : 33,406.44 = 16,146.47 : x
  2. Step 2: Convert to fraction form
    24,199.43/33,406.44 = 16,146.47/x
  3. Step 3: Cross multiply
    24,199.43x = 33,406.44 × 16,146.47
  4. Step 4: Simplify right side
    24,199.43x = 539,396,081.27
  5. Step 5: Solve for x
    x = 539,396,081.27/24,199.43
  6. Step 6: Final answer
    x = 22,289.62

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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.