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Finding the Fourth Proportional to 15,759.73, 21,748.35 and 8,686

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Solution

The fourth proportional to 15,759.73, 21,748.35 and 8,686 is: 11,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,759.73 : 21,748.35 = 8,686 : x
  2. Step 2: Convert to fraction form
    15,759.73/21,748.35 = 8,686/x
  3. Step 3: Cross multiply
    15,759.73x = 21,748.35 × 8,686
  4. Step 4: Simplify right side
    15,759.73x = 188,906,168.10
  5. Step 5: Solve for x
    x = 188,906,168.10/15,759.73
  6. Step 6: Final answer
    x = 11,986.64

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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.