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Finding the Fourth Proportional to 26,286.14, 39,429 and 6,564.56

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Solution

The fourth proportional to 26,286.14, 39,429 and 6,564.56 is: 9,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,286.14 : 39,429 = 6,564.56 : x
  2. Step 2: Convert to fraction form
    26,286.14/39,429 = 6,564.56/x
  3. Step 3: Cross multiply
    26,286.14x = 39,429 × 6,564.56
  4. Step 4: Simplify right side
    26,286.14x = 258,834,036.24
  5. Step 5: Solve for x
    x = 258,834,036.24/26,286.14
  6. Step 6: Final answer
    x = 9,846.79

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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.