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Finding the Fourth Proportional to 15,712.44, 21,682.62 and 8,638.82

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Solution

The fourth proportional to 15,712.44, 21,682.62 and 8,638.82 is: 11,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.44 : 21,682.62 = 8,638.82 : x
  2. Step 2: Convert to fraction form
    15,712.44/21,682.62 = 8,638.82/x
  3. Step 3: Cross multiply
    15,712.44x = 21,682.62 × 8,638.82
  4. Step 4: Simplify right side
    15,712.44x = 187,312,251.31
  5. Step 5: Solve for x
    x = 187,312,251.31/15,712.44
  6. Step 6: Final answer
    x = 11,921.27

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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.