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Finding the Fourth Proportional to 16,665.16, 22,997.52 and 9,111.54

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Solution

The fourth proportional to 16,665.16, 22,997.52 and 9,111.54 is: 12,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,665.16 : 22,997.52 = 9,111.54 : x
  2. Step 2: Convert to fraction form
    16,665.16/22,997.52 = 9,111.54/x
  3. Step 3: Cross multiply
    16,665.16x = 22,997.52 × 9,111.54
  4. Step 4: Simplify right side
    16,665.16x = 209,542,823.38
  5. Step 5: Solve for x
    x = 209,542,823.38/16,665.16
  6. Step 6: Final answer
    x = 12,573.71

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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.