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Finding the Fourth Proportional to 24,517.86, 33,823.41 and 16,017.72

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Solution

The fourth proportional to 24,517.86, 33,823.41 and 16,017.72 is: 22,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.86 : 33,823.41 = 16,017.72 : x
  2. Step 2: Convert to fraction form
    24,517.86/33,823.41 = 16,017.72/x
  3. Step 3: Cross multiply
    24,517.86x = 33,823.41 × 16,017.72
  4. Step 4: Simplify right side
    24,517.86x = 541,773,723.92
  5. Step 5: Solve for x
    x = 541,773,723.92/24,517.86
  6. Step 6: Final answer
    x = 22,097.11

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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.