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Finding the Fourth Proportional to 16,778.97, 23,159.79 and 11,114.64

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Solution

The fourth proportional to 16,778.97, 23,159.79 and 11,114.64 is: 15,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.97 : 23,159.79 = 11,114.64 : x
  2. Step 2: Convert to fraction form
    16,778.97/23,159.79 = 11,114.64/x
  3. Step 3: Cross multiply
    16,778.97x = 23,159.79 × 11,114.64
  4. Step 4: Simplify right side
    16,778.97x = 257,412,728.33
  5. Step 5: Solve for x
    x = 257,412,728.33/16,778.97
  6. Step 6: Final answer
    x = 15,341.39

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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.