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Finding the Fourth Proportional to 20,024.93, 30,037.12 and 5,984.65

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Solution

The fourth proportional to 20,024.93, 30,037.12 and 5,984.65 is: 8,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024.93 : 30,037.12 = 5,984.65 : x
  2. Step 2: Convert to fraction form
    20,024.93/30,037.12 = 5,984.65/x
  3. Step 3: Cross multiply
    20,024.93x = 30,037.12 × 5,984.65
  4. Step 4: Simplify right side
    20,024.93x = 179,761,560.15
  5. Step 5: Solve for x
    x = 179,761,560.15/20,024.93
  6. Step 6: Final answer
    x = 8,976.89

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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.