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Finding the Fourth Proportional to 15,824.62, 21,837.32 and 8,654.42

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Solution

The fourth proportional to 15,824.62, 21,837.32 and 8,654.42 is: 11,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.62 : 21,837.32 = 8,654.42 : x
  2. Step 2: Convert to fraction form
    15,824.62/21,837.32 = 8,654.42/x
  3. Step 3: Cross multiply
    15,824.62x = 21,837.32 × 8,654.42
  4. Step 4: Simplify right side
    15,824.62x = 188,989,338.95
  5. Step 5: Solve for x
    x = 188,989,338.95/15,824.62
  6. Step 6: Final answer
    x = 11,942.74

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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.