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Finding the Fourth Proportional to 21,849, 32,773.62 and 5,433

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Solution

The fourth proportional to 21,849, 32,773.62 and 5,433 is: 8,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849 : 32,773.62 = 5,433 : x
  2. Step 2: Convert to fraction form
    21,849/32,773.62 = 5,433/x
  3. Step 3: Cross multiply
    21,849x = 32,773.62 × 5,433
  4. Step 4: Simplify right side
    21,849x = 178,059,077.46
  5. Step 5: Solve for x
    x = 178,059,077.46/21,849
  6. Step 6: Final answer
    x = 8,149.53

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Why These Related Problems?

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