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Finding the Fourth Proportional to 16,578.50, 24,867.75 and 5,634.50

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Solution

The fourth proportional to 16,578.50, 24,867.75 and 5,634.50 is: 8,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.50 : 24,867.75 = 5,634.50 : x
  2. Step 2: Convert to fraction form
    16,578.50/24,867.75 = 5,634.50/x
  3. Step 3: Cross multiply
    16,578.50x = 24,867.75 × 5,634.50
  4. Step 4: Simplify right side
    16,578.50x = 140,117,337.38
  5. Step 5: Solve for x
    x = 140,117,337.38/16,578.50
  6. Step 6: Final answer
    x = 8,451.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.