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Finding the Fourth Proportional to 26,580.66, 39,871.14 and 6,857.87

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Solution

The fourth proportional to 26,580.66, 39,871.14 and 6,857.87 is: 10,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580.66 : 39,871.14 = 6,857.87 : x
  2. Step 2: Convert to fraction form
    26,580.66/39,871.14 = 6,857.87/x
  3. Step 3: Cross multiply
    26,580.66x = 39,871.14 × 6,857.87
  4. Step 4: Simplify right side
    26,580.66x = 273,430,869.80
  5. Step 5: Solve for x
    x = 273,430,869.80/26,580.66
  6. Step 6: Final answer
    x = 10,286.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.