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Finding the Fourth Proportional to 15,897.38, 21,936.69 and 8,822.06

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Solution

The fourth proportional to 15,897.38, 21,936.69 and 8,822.06 is: 12,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.38 : 21,936.69 = 8,822.06 : x
  2. Step 2: Convert to fraction form
    15,897.38/21,936.69 = 8,822.06/x
  3. Step 3: Cross multiply
    15,897.38x = 21,936.69 × 8,822.06
  4. Step 4: Simplify right side
    15,897.38x = 193,526,795.38
  5. Step 5: Solve for x
    x = 193,526,795.38/15,897.38
  6. Step 6: Final answer
    x = 12,173.50

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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.