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Finding the Fourth Proportional to 10,216.20, 15,298.70 and 8,168.20

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Solution

The fourth proportional to 10,216.20, 15,298.70 and 8,168.20 is: 12,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.20 : 15,298.70 = 8,168.20 : x
  2. Step 2: Convert to fraction form
    10,216.20/15,298.70 = 8,168.20/x
  3. Step 3: Cross multiply
    10,216.20x = 15,298.70 × 8,168.20
  4. Step 4: Simplify right side
    10,216.20x = 124,962,841.34
  5. Step 5: Solve for x
    x = 124,962,841.34/10,216.20
  6. Step 6: Final answer
    x = 12,231.83

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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.