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Finding the Fourth Proportional to 18,641.82, 27,971.76 and 9,282.66

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Solution

The fourth proportional to 18,641.82, 27,971.76 and 9,282.66 is: 13,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.82 : 27,971.76 = 9,282.66 : x
  2. Step 2: Convert to fraction form
    18,641.82/27,971.76 = 9,282.66/x
  3. Step 3: Cross multiply
    18,641.82x = 27,971.76 × 9,282.66
  4. Step 4: Simplify right side
    18,641.82x = 259,652,337.68
  5. Step 5: Solve for x
    x = 259,652,337.68/18,641.82
  6. Step 6: Final answer
    x = 13,928.49

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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.