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Finding the Fourth Proportional to 12,408.66, 17,138.79 and 9,046.08

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Solution

The fourth proportional to 12,408.66, 17,138.79 and 9,046.08 is: 12,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.66 : 17,138.79 = 9,046.08 : x
  2. Step 2: Convert to fraction form
    12,408.66/17,138.79 = 9,046.08/x
  3. Step 3: Cross multiply
    12,408.66x = 17,138.79 × 9,046.08
  4. Step 4: Simplify right side
    12,408.66x = 155,038,865.44
  5. Step 5: Solve for x
    x = 155,038,865.44/12,408.66
  6. Step 6: Final answer
    x = 12,494.41

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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.