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Finding the Fourth Proportional to 12,424.37, 17,138.07 and 7,885.44

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Solution

The fourth proportional to 12,424.37, 17,138.07 and 7,885.44 is: 10,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.37 : 17,138.07 = 7,885.44 : x
  2. Step 2: Convert to fraction form
    12,424.37/17,138.07 = 7,885.44/x
  3. Step 3: Cross multiply
    12,424.37x = 17,138.07 × 7,885.44
  4. Step 4: Simplify right side
    12,424.37x = 135,141,222.70
  5. Step 5: Solve for x
    x = 135,141,222.70/12,424.37
  6. Step 6: Final answer
    x = 10,877.11

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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.