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Finding the Fourth Proportional to 12,849.27, 17,734.95 and 8,365.21

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Solution

The fourth proportional to 12,849.27, 17,734.95 and 8,365.21 is: 11,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.27 : 17,734.95 = 8,365.21 : x
  2. Step 2: Convert to fraction form
    12,849.27/17,734.95 = 8,365.21/x
  3. Step 3: Cross multiply
    12,849.27x = 17,734.95 × 8,365.21
  4. Step 4: Simplify right side
    12,849.27x = 148,356,581.09
  5. Step 5: Solve for x
    x = 148,356,581.09/12,849.27
  6. Step 6: Final answer
    x = 11,545.92

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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.