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Finding the Fourth Proportional to 16,657.38, 24,986.07 and 6,801.30

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Solution

The fourth proportional to 16,657.38, 24,986.07 and 6,801.30 is: 10,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.38 : 24,986.07 = 6,801.30 : x
  2. Step 2: Convert to fraction form
    16,657.38/24,986.07 = 6,801.30/x
  3. Step 3: Cross multiply
    16,657.38x = 24,986.07 × 6,801.30
  4. Step 4: Simplify right side
    16,657.38x = 169,937,757.89
  5. Step 5: Solve for x
    x = 169,937,757.89/16,657.38
  6. Step 6: Final answer
    x = 10,201.95

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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.