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Finding the Fourth Proportional to 18,142.57, 27,202.02 and 7,619.32

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Solution

The fourth proportional to 18,142.57, 27,202.02 and 7,619.32 is: 11,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.57 : 27,202.02 = 7,619.32 : x
  2. Step 2: Convert to fraction form
    18,142.57/27,202.02 = 7,619.32/x
  3. Step 3: Cross multiply
    18,142.57x = 27,202.02 × 7,619.32
  4. Step 4: Simplify right side
    18,142.57x = 207,260,895.03
  5. Step 5: Solve for x
    x = 207,260,895.03/18,142.57
  6. Step 6: Final answer
    x = 11,424.01

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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.