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Finding the Fourth Proportional to 20,089.81, 30,132.15 and 5,299.84

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Solution

The fourth proportional to 20,089.81, 30,132.15 and 5,299.84 is: 7,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089.81 : 30,132.15 = 5,299.84 : x
  2. Step 2: Convert to fraction form
    20,089.81/30,132.15 = 5,299.84/x
  3. Step 3: Cross multiply
    20,089.81x = 30,132.15 × 5,299.84
  4. Step 4: Simplify right side
    20,089.81x = 159,695,573.86
  5. Step 5: Solve for x
    x = 159,695,573.86/20,089.81
  6. Step 6: Final answer
    x = 7,949.08

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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.