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Finding the Fourth Proportional to 15,896.82, 21,937.95 and 8,823

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Solution

The fourth proportional to 15,896.82, 21,937.95 and 8,823 is: 12,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.82 : 21,937.95 = 8,823 : x
  2. Step 2: Convert to fraction form
    15,896.82/21,937.95 = 8,823/x
  3. Step 3: Cross multiply
    15,896.82x = 21,937.95 × 8,823
  4. Step 4: Simplify right side
    15,896.82x = 193,558,532.85
  5. Step 5: Solve for x
    x = 193,558,532.85/15,896.82
  6. Step 6: Final answer
    x = 12,175.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.