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Finding the Fourth Proportional to 12,965.67, 19,456.20 and 5,569.97

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Solution

The fourth proportional to 12,965.67, 19,456.20 and 5,569.97 is: 8,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.67 : 19,456.20 = 5,569.97 : x
  2. Step 2: Convert to fraction form
    12,965.67/19,456.20 = 5,569.97/x
  3. Step 3: Cross multiply
    12,965.67x = 19,456.20 × 5,569.97
  4. Step 4: Simplify right side
    12,965.67x = 108,370,353.03
  5. Step 5: Solve for x
    x = 108,370,353.03/12,965.67
  6. Step 6: Final answer
    x = 8,358.25

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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.