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Finding the Fourth Proportional to 16,656, 22,985.34 and 9,204

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Solution

The fourth proportional to 16,656, 22,985.34 and 9,204 is: 12,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,656 : 22,985.34 = 9,204 : x
  2. Step 2: Convert to fraction form
    16,656/22,985.34 = 9,204/x
  3. Step 3: Cross multiply
    16,656x = 22,985.34 × 9,204
  4. Step 4: Simplify right side
    16,656x = 211,557,069.36
  5. Step 5: Solve for x
    x = 211,557,069.36/16,656
  6. Step 6: Final answer
    x = 12,701.55

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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.