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Finding the Fourth Proportional to 18,640.74, 27,924.18 and 12,071.52

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Solution

The fourth proportional to 18,640.74, 27,924.18 and 12,071.52 is: 18,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,640.74 : 27,924.18 = 12,071.52 : x
  2. Step 2: Convert to fraction form
    18,640.74/27,924.18 = 12,071.52/x
  3. Step 3: Cross multiply
    18,640.74x = 27,924.18 × 12,071.52
  4. Step 4: Simplify right side
    18,640.74x = 337,087,297.35
  5. Step 5: Solve for x
    x = 337,087,297.35/18,640.74
  6. Step 6: Final answer
    x = 18,083.36

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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.