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Finding the Fourth Proportional to 20,738.30, 28,618.03 and 12,243.16

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Solution

The fourth proportional to 20,738.30, 28,618.03 and 12,243.16 is: 16,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738.30 : 28,618.03 = 12,243.16 : x
  2. Step 2: Convert to fraction form
    20,738.30/28,618.03 = 12,243.16/x
  3. Step 3: Cross multiply
    20,738.30x = 28,618.03 × 12,243.16
  4. Step 4: Simplify right side
    20,738.30x = 350,375,155.90
  5. Step 5: Solve for x
    x = 350,375,155.90/20,738.30
  6. Step 6: Final answer
    x = 16,895.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.