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Finding the Fourth Proportional to 20,174.20, 30,261.30 and 15,566.20

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Solution

The fourth proportional to 20,174.20, 30,261.30 and 15,566.20 is: 23,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.20 : 30,261.30 = 15,566.20 : x
  2. Step 2: Convert to fraction form
    20,174.20/30,261.30 = 15,566.20/x
  3. Step 3: Cross multiply
    20,174.20x = 30,261.30 × 15,566.20
  4. Step 4: Simplify right side
    20,174.20x = 471,053,448.06
  5. Step 5: Solve for x
    x = 471,053,448.06/20,174.20
  6. Step 6: Final answer
    x = 23,349.30

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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.