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Finding the Fourth Proportional to 20,097.01, 30,151.41 and 9,001.23

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Solution

The fourth proportional to 20,097.01, 30,151.41 and 9,001.23 is: 13,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.01 : 30,151.41 = 9,001.23 : x
  2. Step 2: Convert to fraction form
    20,097.01/30,151.41 = 9,001.23/x
  3. Step 3: Cross multiply
    20,097.01x = 30,151.41 × 9,001.23
  4. Step 4: Simplify right side
    20,097.01x = 271,399,776.23
  5. Step 5: Solve for x
    x = 271,399,776.23/20,097.01
  6. Step 6: Final answer
    x = 13,504.49

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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.