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Finding the Fourth Proportional to 20,511.65, 30,768.14 and 6,471.81

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Solution

The fourth proportional to 20,511.65, 30,768.14 and 6,471.81 is: 9,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.65 : 30,768.14 = 6,471.81 : x
  2. Step 2: Convert to fraction form
    20,511.65/30,768.14 = 6,471.81/x
  3. Step 3: Cross multiply
    20,511.65x = 30,768.14 × 6,471.81
  4. Step 4: Simplify right side
    20,511.65x = 199,125,572.31
  5. Step 5: Solve for x
    x = 199,125,572.31/20,511.65
  6. Step 6: Final answer
    x = 9,707.92

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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.