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Finding the Fourth Proportional to 21,849, 32,773.45 and 6,266.63

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Solution

The fourth proportional to 21,849, 32,773.45 and 6,266.63 is: 9,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849 : 32,773.45 = 6,266.63 : x
  2. Step 2: Convert to fraction form
    21,849/32,773.45 = 6,266.63/x
  3. Step 3: Cross multiply
    21,849x = 32,773.45 × 6,266.63
  4. Step 4: Simplify right side
    21,849x = 205,379,084.97
  5. Step 5: Solve for x
    x = 205,379,084.97/21,849
  6. Step 6: Final answer
    x = 9,399.93

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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.