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Finding the Fourth Proportional to 16,781.58, 23,159.04 and 9,228.36

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Solution

The fourth proportional to 16,781.58, 23,159.04 and 9,228.36 is: 12,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.58 : 23,159.04 = 9,228.36 : x
  2. Step 2: Convert to fraction form
    16,781.58/23,159.04 = 9,228.36/x
  3. Step 3: Cross multiply
    16,781.58x = 23,159.04 × 9,228.36
  4. Step 4: Simplify right side
    16,781.58x = 213,719,958.37
  5. Step 5: Solve for x
    x = 213,719,958.37/16,781.58
  6. Step 6: Final answer
    x = 12,735.39

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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.