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Finding the Fourth Proportional to 20,298.30, 30,375.36 and 12,398.40

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Solution

The fourth proportional to 20,298.30, 30,375.36 and 12,398.40 is: 18,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.30 : 30,375.36 = 12,398.40 : x
  2. Step 2: Convert to fraction form
    20,298.30/30,375.36 = 12,398.40/x
  3. Step 3: Cross multiply
    20,298.30x = 30,375.36 × 12,398.40
  4. Step 4: Simplify right side
    20,298.30x = 376,605,863.42
  5. Step 5: Solve for x
    x = 376,605,863.42/20,298.30
  6. Step 6: Final answer
    x = 18,553.57

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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.