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Finding the Fourth Proportional to 12,238.31, 16,886.43 and 7,202.76

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Solution

The fourth proportional to 12,238.31, 16,886.43 and 7,202.76 is: 9,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.31 : 16,886.43 = 7,202.76 : x
  2. Step 2: Convert to fraction form
    12,238.31/16,886.43 = 7,202.76/x
  3. Step 3: Cross multiply
    12,238.31x = 16,886.43 × 7,202.76
  4. Step 4: Simplify right side
    12,238.31x = 121,628,902.55
  5. Step 5: Solve for x
    x = 121,628,902.55/12,238.31
  6. Step 6: Final answer
    x = 9,938.38

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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.