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Finding the Fourth Proportional to 20,705.92, 31,065.09 and 6,473.82

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Solution

The fourth proportional to 20,705.92, 31,065.09 and 6,473.82 is: 9,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.92 : 31,065.09 = 6,473.82 : x
  2. Step 2: Convert to fraction form
    20,705.92/31,065.09 = 6,473.82/x
  3. Step 3: Cross multiply
    20,705.92x = 31,065.09 × 6,473.82
  4. Step 4: Simplify right side
    20,705.92x = 201,109,800.94
  5. Step 5: Solve for x
    x = 201,109,800.94/20,705.92
  6. Step 6: Final answer
    x = 9,712.67

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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.