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Finding the Fourth Proportional to 15,682.74, 21,641.43 and 8,969.46

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Solution

The fourth proportional to 15,682.74, 21,641.43 and 8,969.46 is: 12,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.74 : 21,641.43 = 8,969.46 : x
  2. Step 2: Convert to fraction form
    15,682.74/21,641.43 = 8,969.46/x
  3. Step 3: Cross multiply
    15,682.74x = 21,641.43 × 8,969.46
  4. Step 4: Simplify right side
    15,682.74x = 194,111,940.73
  5. Step 5: Solve for x
    x = 194,111,940.73/15,682.74
  6. Step 6: Final answer
    x = 12,377.43

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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.