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Finding the Fourth Proportional to 21,181.78, 31,774.02 and 5,599

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Solution

The fourth proportional to 21,181.78, 31,774.02 and 5,599 is: 8,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.78 : 31,774.02 = 5,599 : x
  2. Step 2: Convert to fraction form
    21,181.78/31,774.02 = 5,599/x
  3. Step 3: Cross multiply
    21,181.78x = 31,774.02 × 5,599
  4. Step 4: Simplify right side
    21,181.78x = 177,902,737.98
  5. Step 5: Solve for x
    x = 177,902,737.98/21,181.78
  6. Step 6: Final answer
    x = 8,398.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.