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Finding the Fourth Proportional to 16,657.38, 22,976.58 and 12,669.75

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Solution

The fourth proportional to 16,657.38, 22,976.58 and 12,669.75 is: 17,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.38 : 22,976.58 = 12,669.75 : x
  2. Step 2: Convert to fraction form
    16,657.38/22,976.58 = 12,669.75/x
  3. Step 3: Cross multiply
    16,657.38x = 22,976.58 × 12,669.75
  4. Step 4: Simplify right side
    16,657.38x = 291,107,524.46
  5. Step 5: Solve for x
    x = 291,107,524.46/16,657.38
  6. Step 6: Final answer
    x = 17,476.19

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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.