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Finding the Fourth Proportional to 20,002.65, 29,997.74 and 7,524.39

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Solution

The fourth proportional to 20,002.65, 29,997.74 and 7,524.39 is: 11,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.65 : 29,997.74 = 7,524.39 : x
  2. Step 2: Convert to fraction form
    20,002.65/29,997.74 = 7,524.39/x
  3. Step 3: Cross multiply
    20,002.65x = 29,997.74 × 7,524.39
  4. Step 4: Simplify right side
    20,002.65x = 225,714,826.18
  5. Step 5: Solve for x
    x = 225,714,826.18/20,002.65
  6. Step 6: Final answer
    x = 11,284.25

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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.