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Finding the Fourth Proportional to 12,884.06, 17,794.04 and 10,374.48

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Solution

The fourth proportional to 12,884.06, 17,794.04 and 10,374.48 is: 14,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.06 : 17,794.04 = 10,374.48 : x
  2. Step 2: Convert to fraction form
    12,884.06/17,794.04 = 10,374.48/x
  3. Step 3: Cross multiply
    12,884.06x = 17,794.04 × 10,374.48
  4. Step 4: Simplify right side
    12,884.06x = 184,603,912.10
  5. Step 5: Solve for x
    x = 184,603,912.10/12,884.06
  6. Step 6: Final answer
    x = 14,328.09

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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.