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Finding the Fourth Proportional to 12,932.56, 17,845.50 and 7,266

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Solution

The fourth proportional to 12,932.56, 17,845.50 and 7,266 is: 10,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.56 : 17,845.50 = 7,266 : x
  2. Step 2: Convert to fraction form
    12,932.56/17,845.50 = 7,266/x
  3. Step 3: Cross multiply
    12,932.56x = 17,845.50 × 7,266
  4. Step 4: Simplify right side
    12,932.56x = 129,665,403
  5. Step 5: Solve for x
    x = 129,665,403/12,932.56
  6. Step 6: Final answer
    x = 10,026.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.