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Finding the Fourth Proportional to 12,537.63, 17,309.82 and 8,069.18

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Solution

The fourth proportional to 12,537.63, 17,309.82 and 8,069.18 is: 11,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.63 : 17,309.82 = 8,069.18 : x
  2. Step 2: Convert to fraction form
    12,537.63/17,309.82 = 8,069.18/x
  3. Step 3: Cross multiply
    12,537.63x = 17,309.82 × 8,069.18
  4. Step 4: Simplify right side
    12,537.63x = 139,675,966.80
  5. Step 5: Solve for x
    x = 139,675,966.80/12,537.63
  6. Step 6: Final answer
    x = 11,140.54

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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.