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Finding the Fourth Proportional to 16,259.06, 24,375.63 and 6,396.50

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Solution

The fourth proportional to 16,259.06, 24,375.63 and 6,396.50 is: 9,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.06 : 24,375.63 = 6,396.50 : x
  2. Step 2: Convert to fraction form
    16,259.06/24,375.63 = 6,396.50/x
  3. Step 3: Cross multiply
    16,259.06x = 24,375.63 × 6,396.50
  4. Step 4: Simplify right side
    16,259.06x = 155,918,717.30
  5. Step 5: Solve for x
    x = 155,918,717.30/16,259.06
  6. Step 6: Final answer
    x = 9,589.65

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Why These Related Problems?

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