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Finding the Fourth Proportional to 12,446.20, 18,647.70 and 10,502.20

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Solution

The fourth proportional to 12,446.20, 18,647.70 and 10,502.20 is: 15,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.20 : 18,647.70 = 10,502.20 : x
  2. Step 2: Convert to fraction form
    12,446.20/18,647.70 = 10,502.20/x
  3. Step 3: Cross multiply
    12,446.20x = 18,647.70 × 10,502.20
  4. Step 4: Simplify right side
    12,446.20x = 195,841,874.94
  5. Step 5: Solve for x
    x = 195,841,874.94/12,446.20
  6. Step 6: Final answer
    x = 15,735.07

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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.