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Finding the Fourth Proportional to 18,214.16, 27,324.42 and 7,540.46

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Solution

The fourth proportional to 18,214.16, 27,324.42 and 7,540.46 is: 11,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.16 : 27,324.42 = 7,540.46 : x
  2. Step 2: Convert to fraction form
    18,214.16/27,324.42 = 7,540.46/x
  3. Step 3: Cross multiply
    18,214.16x = 27,324.42 × 7,540.46
  4. Step 4: Simplify right side
    18,214.16x = 206,038,696.03
  5. Step 5: Solve for x
    x = 206,038,696.03/18,214.16
  6. Step 6: Final answer
    x = 11,312.01

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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.