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Finding the Fourth Proportional to 12,219.42, 16,839.73 and 9,794.03

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Solution

The fourth proportional to 12,219.42, 16,839.73 and 9,794.03 is: 13,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.42 : 16,839.73 = 9,794.03 : x
  2. Step 2: Convert to fraction form
    12,219.42/16,839.73 = 9,794.03/x
  3. Step 3: Cross multiply
    12,219.42x = 16,839.73 × 9,794.03
  4. Step 4: Simplify right side
    12,219.42x = 164,928,748.86
  5. Step 5: Solve for x
    x = 164,928,748.86/12,219.42
  6. Step 6: Final answer
    x = 13,497.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.