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Finding the Fourth Proportional to 18,216.68, 27,319.62 and 7,826

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Solution

The fourth proportional to 18,216.68, 27,319.62 and 7,826 is: 11,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,216.68 : 27,319.62 = 7,826 : x
  2. Step 2: Convert to fraction form
    18,216.68/27,319.62 = 7,826/x
  3. Step 3: Cross multiply
    18,216.68x = 27,319.62 × 7,826
  4. Step 4: Simplify right side
    18,216.68x = 213,803,346.12
  5. Step 5: Solve for x
    x = 213,803,346.12/18,216.68
  6. Step 6: Final answer
    x = 11,736.68

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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.