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Finding the Fourth Proportional to 20,102.81, 30,168.05 and 9,021.89

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Solution

The fourth proportional to 20,102.81, 30,168.05 and 9,021.89 is: 13,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.81 : 30,168.05 = 9,021.89 : x
  2. Step 2: Convert to fraction form
    20,102.81/30,168.05 = 9,021.89/x
  3. Step 3: Cross multiply
    20,102.81x = 30,168.05 × 9,021.89
  4. Step 4: Simplify right side
    20,102.81x = 272,172,632.66
  5. Step 5: Solve for x
    x = 272,172,632.66/20,102.81
  6. Step 6: Final answer
    x = 13,539.04

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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.