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Finding the Fourth Proportional to 16,522.67, 24,778.76 and 5,426.78

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Solution

The fourth proportional to 16,522.67, 24,778.76 and 5,426.78 is: 8,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.67 : 24,778.76 = 5,426.78 : x
  2. Step 2: Convert to fraction form
    16,522.67/24,778.76 = 5,426.78/x
  3. Step 3: Cross multiply
    16,522.67x = 24,778.76 × 5,426.78
  4. Step 4: Simplify right side
    16,522.67x = 134,468,954.71
  5. Step 5: Solve for x
    x = 134,468,954.71/16,522.67
  6. Step 6: Final answer
    x = 8,138.45

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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.