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Finding the Fourth Proportional to 18,422, 27,637.08 and 6,734.96

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Solution

The fourth proportional to 18,422, 27,637.08 and 6,734.96 is: 10,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422 : 27,637.08 = 6,734.96 : x
  2. Step 2: Convert to fraction form
    18,422/27,637.08 = 6,734.96/x
  3. Step 3: Cross multiply
    18,422x = 27,637.08 × 6,734.96
  4. Step 4: Simplify right side
    18,422x = 186,134,628.32
  5. Step 5: Solve for x
    x = 186,134,628.32/18,422
  6. Step 6: Final answer
    x = 10,103.93

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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.