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Finding the Fourth Proportional to 21,257.36, 31,880.64 and 8,105.84

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Solution

The fourth proportional to 21,257.36, 31,880.64 and 8,105.84 is: 12,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.36 : 31,880.64 = 8,105.84 : x
  2. Step 2: Convert to fraction form
    21,257.36/31,880.64 = 8,105.84/x
  3. Step 3: Cross multiply
    21,257.36x = 31,880.64 × 8,105.84
  4. Step 4: Simplify right side
    21,257.36x = 258,419,366.94
  5. Step 5: Solve for x
    x = 258,419,366.94/21,257.36
  6. Step 6: Final answer
    x = 12,156.70

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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.