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Finding the Fourth Proportional to 15,852.41, 21,876.09 and 8,682.24

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Solution

The fourth proportional to 15,852.41, 21,876.09 and 8,682.24 is: 11,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.41 : 21,876.09 = 8,682.24 : x
  2. Step 2: Convert to fraction form
    15,852.41/21,876.09 = 8,682.24/x
  3. Step 3: Cross multiply
    15,852.41x = 21,876.09 × 8,682.24
  4. Step 4: Simplify right side
    15,852.41x = 189,933,463.64
  5. Step 5: Solve for x
    x = 189,933,463.64/15,852.41
  6. Step 6: Final answer
    x = 11,981.37

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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.