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Finding the Fourth Proportional to 18,522.09, 25,560.42 and 10,024.25

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Solution

The fourth proportional to 18,522.09, 25,560.42 and 10,024.25 is: 13,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522.09 : 25,560.42 = 10,024.25 : x
  2. Step 2: Convert to fraction form
    18,522.09/25,560.42 = 10,024.25/x
  3. Step 3: Cross multiply
    18,522.09x = 25,560.42 × 10,024.25
  4. Step 4: Simplify right side
    18,522.09x = 256,223,912.38
  5. Step 5: Solve for x
    x = 256,223,912.38/18,522.09
  6. Step 6: Final answer
    x = 13,833.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.