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Finding the Fourth Proportional to 12,175.56, 16,801.34 and 6,870.87

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Solution

The fourth proportional to 12,175.56, 16,801.34 and 6,870.87 is: 9,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.56 : 16,801.34 = 6,870.87 : x
  2. Step 2: Convert to fraction form
    12,175.56/16,801.34 = 6,870.87/x
  3. Step 3: Cross multiply
    12,175.56x = 16,801.34 × 6,870.87
  4. Step 4: Simplify right side
    12,175.56x = 115,439,738.96
  5. Step 5: Solve for x
    x = 115,439,738.96/12,175.56
  6. Step 6: Final answer
    x = 9,481.27

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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.