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Finding the Fourth Proportional to 12,170.48, 16,795.73 and 6,865.19

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Solution

The fourth proportional to 12,170.48, 16,795.73 and 6,865.19 is: 9,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.48 : 16,795.73 = 6,865.19 : x
  2. Step 2: Convert to fraction form
    12,170.48/16,795.73 = 6,865.19/x
  3. Step 3: Cross multiply
    12,170.48x = 16,795.73 × 6,865.19
  4. Step 4: Simplify right side
    12,170.48x = 115,305,810.82
  5. Step 5: Solve for x
    x = 115,305,810.82/12,170.48
  6. Step 6: Final answer
    x = 9,474.22

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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.