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Finding the Fourth Proportional to 18,142.14, 27,223.71 and 7,611.22

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Solution

The fourth proportional to 18,142.14, 27,223.71 and 7,611.22 is: 11,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.14 : 27,223.71 = 7,611.22 : x
  2. Step 2: Convert to fraction form
    18,142.14/27,223.71 = 7,611.22/x
  3. Step 3: Cross multiply
    18,142.14x = 27,223.71 × 7,611.22
  4. Step 4: Simplify right side
    18,142.14x = 207,205,646.03
  5. Step 5: Solve for x
    x = 207,205,646.03/18,142.14
  6. Step 6: Final answer
    x = 11,421.24

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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.