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Finding the Fourth Proportional to 20,456.18, 30,672.12 and 6,412.40

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Solution

The fourth proportional to 20,456.18, 30,672.12 and 6,412.40 is: 9,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.18 : 30,672.12 = 6,412.40 : x
  2. Step 2: Convert to fraction form
    20,456.18/30,672.12 = 6,412.40/x
  3. Step 3: Cross multiply
    20,456.18x = 30,672.12 × 6,412.40
  4. Step 4: Simplify right side
    20,456.18x = 196,681,902.29
  5. Step 5: Solve for x
    x = 196,681,902.29/20,456.18
  6. Step 6: Final answer
    x = 9,614.79

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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.