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Finding the Fourth Proportional to 27,589, 38,061 and 21,596.64

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Solution

The fourth proportional to 27,589, 38,061 and 21,596.64 is: 29,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589 : 38,061 = 21,596.64 : x
  2. Step 2: Convert to fraction form
    27,589/38,061 = 21,596.64/x
  3. Step 3: Cross multiply
    27,589x = 38,061 × 21,596.64
  4. Step 4: Simplify right side
    27,589x = 821,989,715.04
  5. Step 5: Solve for x
    x = 821,989,715.04/27,589
  6. Step 6: Final answer
    x = 29,794.11

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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.