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Finding the Fourth Proportional to 15,997.50, 22,076.58 and 8,924.38

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Solution

The fourth proportional to 15,997.50, 22,076.58 and 8,924.38 is: 12,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.50 : 22,076.58 = 8,924.38 : x
  2. Step 2: Convert to fraction form
    15,997.50/22,076.58 = 8,924.38/x
  3. Step 3: Cross multiply
    15,997.50x = 22,076.58 × 8,924.38
  4. Step 4: Simplify right side
    15,997.50x = 197,019,789.02
  5. Step 5: Solve for x
    x = 197,019,789.02/15,997.50
  6. Step 6: Final answer
    x = 12,315.66

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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.