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Finding the Fourth Proportional to 20,282.52, 30,422.76 and 7,800.12

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Solution

The fourth proportional to 20,282.52, 30,422.76 and 7,800.12 is: 11,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.52 : 30,422.76 = 7,800.12 : x
  2. Step 2: Convert to fraction form
    20,282.52/30,422.76 = 7,800.12/x
  3. Step 3: Cross multiply
    20,282.52x = 30,422.76 × 7,800.12
  4. Step 4: Simplify right side
    20,282.52x = 237,301,178.73
  5. Step 5: Solve for x
    x = 237,301,178.73/20,282.52
  6. Step 6: Final answer
    x = 11,699.79

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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.