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Finding the Fourth Proportional to 18,342.12, 27,509.67 and 5,191.32

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Solution

The fourth proportional to 18,342.12, 27,509.67 and 5,191.32 is: 7,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.12 : 27,509.67 = 5,191.32 : x
  2. Step 2: Convert to fraction form
    18,342.12/27,509.67 = 5,191.32/x
  3. Step 3: Cross multiply
    18,342.12x = 27,509.67 × 5,191.32
  4. Step 4: Simplify right side
    18,342.12x = 142,811,500.06
  5. Step 5: Solve for x
    x = 142,811,500.06/18,342.12
  6. Step 6: Final answer
    x = 7,785.99

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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.