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Finding the Fourth Proportional to 14,369.25, 21,553.89 and 3,981

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Solution

The fourth proportional to 14,369.25, 21,553.89 and 3,981 is: 5,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.25 : 21,553.89 = 3,981 : x
  2. Step 2: Convert to fraction form
    14,369.25/21,553.89 = 3,981/x
  3. Step 3: Cross multiply
    14,369.25x = 21,553.89 × 3,981
  4. Step 4: Simplify right side
    14,369.25x = 85,806,036.09
  5. Step 5: Solve for x
    x = 85,806,036.09/14,369.25
  6. Step 6: Final answer
    x = 5,971.50

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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.