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Finding the Fourth Proportional to 12,226.77, 18,326.91 and 5,991

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Solution

The fourth proportional to 12,226.77, 18,326.91 and 5,991 is: 8,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.77 : 18,326.91 = 5,991 : x
  2. Step 2: Convert to fraction form
    12,226.77/18,326.91 = 5,991/x
  3. Step 3: Cross multiply
    12,226.77x = 18,326.91 × 5,991
  4. Step 4: Simplify right side
    12,226.77x = 109,796,517.81
  5. Step 5: Solve for x
    x = 109,796,517.81/12,226.77
  6. Step 6: Final answer
    x = 8,980.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.