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Finding the Fourth Proportional to 12,399.42, 18,582.26 and 6,844.50

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Solution

The fourth proportional to 12,399.42, 18,582.26 and 6,844.50 is: 10,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.42 : 18,582.26 = 6,844.50 : x
  2. Step 2: Convert to fraction form
    12,399.42/18,582.26 = 6,844.50/x
  3. Step 3: Cross multiply
    12,399.42x = 18,582.26 × 6,844.50
  4. Step 4: Simplify right side
    12,399.42x = 127,186,278.57
  5. Step 5: Solve for x
    x = 127,186,278.57/12,399.42
  6. Step 6: Final answer
    x = 10,257.44

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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.