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Finding the Fourth Proportional to 23,322.54, 32,177.07 and 16,246.38

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Solution

The fourth proportional to 23,322.54, 32,177.07 and 16,246.38 is: 22,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.54 : 32,177.07 = 16,246.38 : x
  2. Step 2: Convert to fraction form
    23,322.54/32,177.07 = 16,246.38/x
  3. Step 3: Cross multiply
    23,322.54x = 32,177.07 × 16,246.38
  4. Step 4: Simplify right side
    23,322.54x = 522,760,906.51
  5. Step 5: Solve for x
    x = 522,760,906.51/23,322.54
  6. Step 6: Final answer
    x = 22,414.41

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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.