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Finding the Fourth Proportional to 16,009.38, 22,093.38 and 8,935.74

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Solution

The fourth proportional to 16,009.38, 22,093.38 and 8,935.74 is: 12,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.38 : 22,093.38 = 8,935.74 : x
  2. Step 2: Convert to fraction form
    16,009.38/22,093.38 = 8,935.74/x
  3. Step 3: Cross multiply
    16,009.38x = 22,093.38 × 8,935.74
  4. Step 4: Simplify right side
    16,009.38x = 197,420,699.40
  5. Step 5: Solve for x
    x = 197,420,699.40/16,009.38
  6. Step 6: Final answer
    x = 12,331.56

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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.