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Finding the Fourth Proportional to 15,896.00, 21,935.61 and 8,822.00

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Solution

The fourth proportional to 15,896.00, 21,935.61 and 8,822.00 is: 12,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.00 : 21,935.61 = 8,822.00 : x
  2. Step 2: Convert to fraction form
    15,896.00/21,935.61 = 8,822.00/x
  3. Step 3: Cross multiply
    15,896.00x = 21,935.61 × 8,822.00
  4. Step 4: Simplify right side
    15,896.00x = 193,516,006.26
  5. Step 5: Solve for x
    x = 193,516,006.26/15,896.00
  6. Step 6: Final answer
    x = 12,173.88

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Why These Related Problems?

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