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Finding the Fourth Proportional to 26,393.84, 39,586.92 and 9,974

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Solution

The fourth proportional to 26,393.84, 39,586.92 and 9,974 is: 14,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,393.84 : 39,586.92 = 9,974 : x
  2. Step 2: Convert to fraction form
    26,393.84/39,586.92 = 9,974/x
  3. Step 3: Cross multiply
    26,393.84x = 39,586.92 × 9,974
  4. Step 4: Simplify right side
    26,393.84x = 394,839,940.08
  5. Step 5: Solve for x
    x = 394,839,940.08/26,393.84
  6. Step 6: Final answer
    x = 14,959.55

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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.