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Finding the Fourth Proportional to 12,170.57, 16,795.08 and 6,865.34

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Solution

The fourth proportional to 12,170.57, 16,795.08 and 6,865.34 is: 9,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.57 : 16,795.08 = 6,865.34 : x
  2. Step 2: Convert to fraction form
    12,170.57/16,795.08 = 6,865.34/x
  3. Step 3: Cross multiply
    12,170.57x = 16,795.08 × 6,865.34
  4. Step 4: Simplify right side
    12,170.57x = 115,303,850.55
  5. Step 5: Solve for x
    x = 115,303,850.55/12,170.57
  6. Step 6: Final answer
    x = 9,473.99

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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.