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Finding the Fourth Proportional to 12,277.40, 18,416.22 and 6,727.72

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Solution

The fourth proportional to 12,277.40, 18,416.22 and 6,727.72 is: 10,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.40 : 18,416.22 = 6,727.72 : x
  2. Step 2: Convert to fraction form
    12,277.40/18,416.22 = 6,727.72/x
  3. Step 3: Cross multiply
    12,277.40x = 18,416.22 × 6,727.72
  4. Step 4: Simplify right side
    12,277.40x = 123,899,208.08
  5. Step 5: Solve for x
    x = 123,899,208.08/12,277.40
  6. Step 6: Final answer
    x = 10,091.65

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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.