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Finding the Fourth Proportional to 20,002.34, 30,003.62 and 6,854.82

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Solution

The fourth proportional to 20,002.34, 30,003.62 and 6,854.82 is: 10,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.34 : 30,003.62 = 6,854.82 : x
  2. Step 2: Convert to fraction form
    20,002.34/30,003.62 = 6,854.82/x
  3. Step 3: Cross multiply
    20,002.34x = 30,003.62 × 6,854.82
  4. Step 4: Simplify right side
    20,002.34x = 205,669,380.17
  5. Step 5: Solve for x
    x = 205,669,380.17/20,002.34
  6. Step 6: Final answer
    x = 10,282.27

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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.