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Finding the Fourth Proportional to 15,682.71, 21,641.31 and 9,309.57

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Solution

The fourth proportional to 15,682.71, 21,641.31 and 9,309.57 is: 12,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.71 : 21,641.31 = 9,309.57 : x
  2. Step 2: Convert to fraction form
    15,682.71/21,641.31 = 9,309.57/x
  3. Step 3: Cross multiply
    15,682.71x = 21,641.31 × 9,309.57
  4. Step 4: Simplify right side
    15,682.71x = 201,471,290.34
  5. Step 5: Solve for x
    x = 201,471,290.34/15,682.71
  6. Step 6: Final answer
    x = 12,846.71

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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.