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Finding the Fourth Proportional to 12,305.93, 18,456.66 and 3,538.69

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Solution

The fourth proportional to 12,305.93, 18,456.66 and 3,538.69 is: 5,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.93 : 18,456.66 = 3,538.69 : x
  2. Step 2: Convert to fraction form
    12,305.93/18,456.66 = 3,538.69/x
  3. Step 3: Cross multiply
    12,305.93x = 18,456.66 × 3,538.69
  4. Step 4: Simplify right side
    12,305.93x = 65,312,352.03
  5. Step 5: Solve for x
    x = 65,312,352.03/12,305.93
  6. Step 6: Final answer
    x = 5,307.39

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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.