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Finding the Fourth Proportional to 26,922.17, 40,384.78 and 8,202.87

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Solution

The fourth proportional to 26,922.17, 40,384.78 and 8,202.87 is: 12,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,922.17 : 40,384.78 = 8,202.87 : x
  2. Step 2: Convert to fraction form
    26,922.17/40,384.78 = 8,202.87/x
  3. Step 3: Cross multiply
    26,922.17x = 40,384.78 × 8,202.87
  4. Step 4: Simplify right side
    26,922.17x = 331,271,079.81
  5. Step 5: Solve for x
    x = 331,271,079.81/26,922.17
  6. Step 6: Final answer
    x = 12,304.77

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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.