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Finding the Fourth Proportional to 20,290.96, 30,422.12 and 7,800.46

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Solution

The fourth proportional to 20,290.96, 30,422.12 and 7,800.46 is: 11,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.96 : 30,422.12 = 7,800.46 : x
  2. Step 2: Convert to fraction form
    20,290.96/30,422.12 = 7,800.46/x
  3. Step 3: Cross multiply
    20,290.96x = 30,422.12 × 7,800.46
  4. Step 4: Simplify right side
    20,290.96x = 237,306,530.18
  5. Step 5: Solve for x
    x = 237,306,530.18/20,290.96
  6. Step 6: Final answer
    x = 11,695.18

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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.