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Finding the Fourth Proportional to 15,196.31, 20,954.37 and 9,881.27

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Solution

The fourth proportional to 15,196.31, 20,954.37 and 9,881.27 is: 13,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.31 : 20,954.37 = 9,881.27 : x
  2. Step 2: Convert to fraction form
    15,196.31/20,954.37 = 9,881.27/x
  3. Step 3: Cross multiply
    15,196.31x = 20,954.37 × 9,881.27
  4. Step 4: Simplify right side
    15,196.31x = 207,055,633.47
  5. Step 5: Solve for x
    x = 207,055,633.47/15,196.31
  6. Step 6: Final answer
    x = 13,625.39

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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.