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Finding the Fourth Proportional to 26,738.84, 40,122.84 and 11,947.16

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Solution

The fourth proportional to 26,738.84, 40,122.84 and 11,947.16 is: 17,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,738.84 : 40,122.84 = 11,947.16 : x
  2. Step 2: Convert to fraction form
    26,738.84/40,122.84 = 11,947.16/x
  3. Step 3: Cross multiply
    26,738.84x = 40,122.84 × 11,947.16
  4. Step 4: Simplify right side
    26,738.84x = 479,353,989.13
  5. Step 5: Solve for x
    x = 479,353,989.13/26,738.84
  6. Step 6: Final answer
    x = 17,927.25

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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.