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Finding the Fourth Proportional to 15,682.68, 21,644.28 and 9,716.04

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Solution

The fourth proportional to 15,682.68, 21,644.28 and 9,716.04 is: 13,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.68 : 21,644.28 = 9,716.04 : x
  2. Step 2: Convert to fraction form
    15,682.68/21,644.28 = 9,716.04/x
  3. Step 3: Cross multiply
    15,682.68x = 21,644.28 × 9,716.04
  4. Step 4: Simplify right side
    15,682.68x = 210,296,690.25
  5. Step 5: Solve for x
    x = 210,296,690.25/15,682.68
  6. Step 6: Final answer
    x = 13,409.49

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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.