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Finding the Fourth Proportional to 12,932.83, 17,845.97 and 7,266.67

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Solution

The fourth proportional to 12,932.83, 17,845.97 and 7,266.67 is: 10,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.83 : 17,845.97 = 7,266.67 : x
  2. Step 2: Convert to fraction form
    12,932.83/17,845.97 = 7,266.67/x
  3. Step 3: Cross multiply
    12,932.83x = 17,845.97 × 7,266.67
  4. Step 4: Simplify right side
    12,932.83x = 129,680,810.35
  5. Step 5: Solve for x
    x = 129,680,810.35/12,932.83
  6. Step 6: Final answer
    x = 10,027.26

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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.