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Finding the Fourth Proportional to 26,937.84, 40,411.80 and 8,219.54

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Solution

The fourth proportional to 26,937.84, 40,411.80 and 8,219.54 is: 12,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937.84 : 40,411.80 = 8,219.54 : x
  2. Step 2: Convert to fraction form
    26,937.84/40,411.80 = 8,219.54/x
  3. Step 3: Cross multiply
    26,937.84x = 40,411.80 × 8,219.54
  4. Step 4: Simplify right side
    26,937.84x = 332,166,406.57
  5. Step 5: Solve for x
    x = 332,166,406.57/26,937.84
  6. Step 6: Final answer
    x = 12,330.85

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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.