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Finding the Fourth Proportional to 18,098.74, 27,148.65 and 6,851.62

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Solution

The fourth proportional to 18,098.74, 27,148.65 and 6,851.62 is: 10,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.74 : 27,148.65 = 6,851.62 : x
  2. Step 2: Convert to fraction form
    18,098.74/27,148.65 = 6,851.62/x
  3. Step 3: Cross multiply
    18,098.74x = 27,148.65 × 6,851.62
  4. Step 4: Simplify right side
    18,098.74x = 186,012,233.31
  5. Step 5: Solve for x
    x = 186,012,233.31/18,098.74
  6. Step 6: Final answer
    x = 10,277.63

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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.