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Finding the Fourth Proportional to 20,733.84, 31,105.66 and 8,254.58

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Solution

The fourth proportional to 20,733.84, 31,105.66 and 8,254.58 is: 12,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733.84 : 31,105.66 = 8,254.58 : x
  2. Step 2: Convert to fraction form
    20,733.84/31,105.66 = 8,254.58/x
  3. Step 3: Cross multiply
    20,733.84x = 31,105.66 × 8,254.58
  4. Step 4: Simplify right side
    20,733.84x = 256,764,158.92
  5. Step 5: Solve for x
    x = 256,764,158.92/20,733.84
  6. Step 6: Final answer
    x = 12,383.82

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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.