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Finding the Fourth Proportional to 18,289.64, 27,436.07 and 5,142.12

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Solution

The fourth proportional to 18,289.64, 27,436.07 and 5,142.12 is: 7,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,289.64 : 27,436.07 = 5,142.12 : x
  2. Step 2: Convert to fraction form
    18,289.64/27,436.07 = 5,142.12/x
  3. Step 3: Cross multiply
    18,289.64x = 27,436.07 × 5,142.12
  4. Step 4: Simplify right side
    18,289.64x = 141,079,577.12
  5. Step 5: Solve for x
    x = 141,079,577.12/18,289.64
  6. Step 6: Final answer
    x = 7,713.64

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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.