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Finding the Fourth Proportional to 19,609.20, 29,365.20 and 15,721.20

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Solution

The fourth proportional to 19,609.20, 29,365.20 and 15,721.20 is: 23,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.20 : 29,365.20 = 15,721.20 : x
  2. Step 2: Convert to fraction form
    19,609.20/29,365.20 = 15,721.20/x
  3. Step 3: Cross multiply
    19,609.20x = 29,365.20 × 15,721.20
  4. Step 4: Simplify right side
    19,609.20x = 461,656,182.24
  5. Step 5: Solve for x
    x = 461,656,182.24/19,609.20
  6. Step 6: Final answer
    x = 23,542.84

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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.