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Finding the Fourth Proportional to 21,278.56, 31,932.42 and 7,427.56

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Solution

The fourth proportional to 21,278.56, 31,932.42 and 7,427.56 is: 11,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.56 : 31,932.42 = 7,427.56 : x
  2. Step 2: Convert to fraction form
    21,278.56/31,932.42 = 7,427.56/x
  3. Step 3: Cross multiply
    21,278.56x = 31,932.42 × 7,427.56
  4. Step 4: Simplify right side
    21,278.56x = 237,179,965.50
  5. Step 5: Solve for x
    x = 237,179,965.50/21,278.56
  6. Step 6: Final answer
    x = 11,146.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.