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Finding the Fourth Proportional to 20,282.82, 30,403.70 and 9,737.43

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Solution

The fourth proportional to 20,282.82, 30,403.70 and 9,737.43 is: 14,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.82 : 30,403.70 = 9,737.43 : x
  2. Step 2: Convert to fraction form
    20,282.82/30,403.70 = 9,737.43/x
  3. Step 3: Cross multiply
    20,282.82x = 30,403.70 × 9,737.43
  4. Step 4: Simplify right side
    20,282.82x = 296,053,774.31
  5. Step 5: Solve for x
    x = 296,053,774.31/20,282.82
  6. Step 6: Final answer
    x = 14,596.29

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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.