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Finding the Fourth Proportional to 15,760.50, 21,748.92 and 8,686.50

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Solution

The fourth proportional to 15,760.50, 21,748.92 and 8,686.50 is: 11,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.50 : 21,748.92 = 8,686.50 : x
  2. Step 2: Convert to fraction form
    15,760.50/21,748.92 = 8,686.50/x
  3. Step 3: Cross multiply
    15,760.50x = 21,748.92 × 8,686.50
  4. Step 4: Simplify right side
    15,760.50x = 188,921,993.58
  5. Step 5: Solve for x
    x = 188,921,993.58/15,760.50
  6. Step 6: Final answer
    x = 11,987.06

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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.