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Finding the Fourth Proportional to 20,901.92, 31,346.16 and 6,858.14

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Solution

The fourth proportional to 20,901.92, 31,346.16 and 6,858.14 is: 10,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.92 : 31,346.16 = 6,858.14 : x
  2. Step 2: Convert to fraction form
    20,901.92/31,346.16 = 6,858.14/x
  3. Step 3: Cross multiply
    20,901.92x = 31,346.16 × 6,858.14
  4. Step 4: Simplify right side
    20,901.92x = 214,976,353.74
  5. Step 5: Solve for x
    x = 214,976,353.74/20,901.92
  6. Step 6: Final answer
    x = 10,285.01

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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.