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Finding the Fourth Proportional to 13,103.09, 19,654.85 and 7,296.61

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Solution

The fourth proportional to 13,103.09, 19,654.85 and 7,296.61 is: 10,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.09 : 19,654.85 = 7,296.61 : x
  2. Step 2: Convert to fraction form
    13,103.09/19,654.85 = 7,296.61/x
  3. Step 3: Cross multiply
    13,103.09x = 19,654.85 × 7,296.61
  4. Step 4: Simplify right side
    13,103.09x = 143,413,775.06
  5. Step 5: Solve for x
    x = 143,413,775.06/13,103.09
  6. Step 6: Final answer
    x = 10,945.03

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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.