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Finding the Fourth Proportional to 18,104.91, 27,140.34 and 9,772.44

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Solution

The fourth proportional to 18,104.91, 27,140.34 and 9,772.44 is: 14,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,104.91 : 27,140.34 = 9,772.44 : x
  2. Step 2: Convert to fraction form
    18,104.91/27,140.34 = 9,772.44/x
  3. Step 3: Cross multiply
    18,104.91x = 27,140.34 × 9,772.44
  4. Step 4: Simplify right side
    18,104.91x = 265,227,344.23
  5. Step 5: Solve for x
    x = 265,227,344.23/18,104.91
  6. Step 6: Final answer
    x = 14,649.47

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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.