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Finding the Fourth Proportional to 20,001.84, 30,021.02 and 10,147.92

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Solution

The fourth proportional to 20,001.84, 30,021.02 and 10,147.92 is: 15,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.84 : 30,021.02 = 10,147.92 : x
  2. Step 2: Convert to fraction form
    20,001.84/30,021.02 = 10,147.92/x
  3. Step 3: Cross multiply
    20,001.84x = 30,021.02 × 10,147.92
  4. Step 4: Simplify right side
    20,001.84x = 304,650,909.28
  5. Step 5: Solve for x
    x = 304,650,909.28/20,001.84
  6. Step 6: Final answer
    x = 15,231.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.