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Finding the Fourth Proportional to 12,241.44, 16,876.92 and 9,732

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Solution

The fourth proportional to 12,241.44, 16,876.92 and 9,732 is: 13,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.44 : 16,876.92 = 9,732 : x
  2. Step 2: Convert to fraction form
    12,241.44/16,876.92 = 9,732/x
  3. Step 3: Cross multiply
    12,241.44x = 16,876.92 × 9,732
  4. Step 4: Simplify right side
    12,241.44x = 164,246,185.44
  5. Step 5: Solve for x
    x = 164,246,185.44/12,241.44
  6. Step 6: Final answer
    x = 13,417.23

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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.