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Finding the Fourth Proportional to 24,832.35, 34,268.53 and 14,629.31

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Solution

The fourth proportional to 24,832.35, 34,268.53 and 14,629.31 is: 20,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.35 : 34,268.53 = 14,629.31 : x
  2. Step 2: Convert to fraction form
    24,832.35/34,268.53 = 14,629.31/x
  3. Step 3: Cross multiply
    24,832.35x = 34,268.53 × 14,629.31
  4. Step 4: Simplify right side
    24,832.35x = 501,324,948.61
  5. Step 5: Solve for x
    x = 501,324,948.61/24,832.35
  6. Step 6: Final answer
    x = 20,188.38

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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.