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Finding the Fourth Proportional to 26,759.43, 36,928.35 and 14,823

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Solution

The fourth proportional to 26,759.43, 36,928.35 and 14,823 is: 20,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,759.43 : 36,928.35 = 14,823 : x
  2. Step 2: Convert to fraction form
    26,759.43/36,928.35 = 14,823/x
  3. Step 3: Cross multiply
    26,759.43x = 36,928.35 × 14,823
  4. Step 4: Simplify right side
    26,759.43x = 547,388,932.05
  5. Step 5: Solve for x
    x = 547,388,932.05/26,759.43
  6. Step 6: Final answer
    x = 20,455.93

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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.