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Finding the Fourth Proportional to 18,551.68, 27,809.92 and 6,856.96

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Solution

The fourth proportional to 18,551.68, 27,809.92 and 6,856.96 is: 10,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.68 : 27,809.92 = 6,856.96 : x
  2. Step 2: Convert to fraction form
    18,551.68/27,809.92 = 6,856.96/x
  3. Step 3: Cross multiply
    18,551.68x = 27,809.92 × 6,856.96
  4. Step 4: Simplify right side
    18,551.68x = 190,691,509.04
  5. Step 5: Solve for x
    x = 190,691,509.04/18,551.68
  6. Step 6: Final answer
    x = 10,278.93

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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.