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Finding the Fourth Proportional to 18,193.84, 27,278.66 and 7,101.56

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Solution

The fourth proportional to 18,193.84, 27,278.66 and 7,101.56 is: 10,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,193.84 : 27,278.66 = 7,101.56 : x
  2. Step 2: Convert to fraction form
    18,193.84/27,278.66 = 7,101.56/x
  3. Step 3: Cross multiply
    18,193.84x = 27,278.66 × 7,101.56
  4. Step 4: Simplify right side
    18,193.84x = 193,721,040.71
  5. Step 5: Solve for x
    x = 193,721,040.71/18,193.84
  6. Step 6: Final answer
    x = 10,647.62

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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.