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Finding the Fourth Proportional to 12,538.06, 17,310.39 and 8,069.57

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Solution

The fourth proportional to 12,538.06, 17,310.39 and 8,069.57 is: 11,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.06 : 17,310.39 = 8,069.57 : x
  2. Step 2: Convert to fraction form
    12,538.06/17,310.39 = 8,069.57/x
  3. Step 3: Cross multiply
    12,538.06x = 17,310.39 × 8,069.57
  4. Step 4: Simplify right side
    12,538.06x = 139,687,363.48
  5. Step 5: Solve for x
    x = 139,687,363.48/12,538.06
  6. Step 6: Final answer
    x = 11,141.07

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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.