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Finding the Fourth Proportional to 24,906.02, 34,369.80 and 13,728.02

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Solution

The fourth proportional to 24,906.02, 34,369.80 and 13,728.02 is: 18,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906.02 : 34,369.80 = 13,728.02 : x
  2. Step 2: Convert to fraction form
    24,906.02/34,369.80 = 13,728.02/x
  3. Step 3: Cross multiply
    24,906.02x = 34,369.80 × 13,728.02
  4. Step 4: Simplify right side
    24,906.02x = 471,829,301.80
  5. Step 5: Solve for x
    x = 471,829,301.80/24,906.02
  6. Step 6: Final answer
    x = 18,944.39

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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.