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Finding the Fourth Proportional to 12,305.54, 18,456.23 and 3,538.42

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Solution

The fourth proportional to 12,305.54, 18,456.23 and 3,538.42 is: 5,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.54 : 18,456.23 = 3,538.42 : x
  2. Step 2: Convert to fraction form
    12,305.54/18,456.23 = 3,538.42/x
  3. Step 3: Cross multiply
    12,305.54x = 18,456.23 × 3,538.42
  4. Step 4: Simplify right side
    12,305.54x = 65,305,856.06
  5. Step 5: Solve for x
    x = 65,305,856.06/12,305.54
  6. Step 6: Final answer
    x = 5,307.03

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