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Finding the Fourth Proportional to 20,102.16, 30,164.40 and 10,243.20

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Solution

The fourth proportional to 20,102.16, 30,164.40 and 10,243.20 is: 15,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.16 : 30,164.40 = 10,243.20 : x
  2. Step 2: Convert to fraction form
    20,102.16/30,164.40 = 10,243.20/x
  3. Step 3: Cross multiply
    20,102.16x = 30,164.40 × 10,243.20
  4. Step 4: Simplify right side
    20,102.16x = 308,979,982.08
  5. Step 5: Solve for x
    x = 308,979,982.08/20,102.16
  6. Step 6: Final answer
    x = 15,370.49

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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.