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Finding the Fourth Proportional to 20,262.56, 30,382.48 and 7,109.76

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Solution

The fourth proportional to 20,262.56, 30,382.48 and 7,109.76 is: 10,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.56 : 30,382.48 = 7,109.76 : x
  2. Step 2: Convert to fraction form
    20,262.56/30,382.48 = 7,109.76/x
  3. Step 3: Cross multiply
    20,262.56x = 30,382.48 × 7,109.76
  4. Step 4: Simplify right side
    20,262.56x = 216,012,141.00
  5. Step 5: Solve for x
    x = 216,012,141.00/20,262.56
  6. Step 6: Final answer
    x = 10,660.65

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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.