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Finding the Fourth Proportional to 24,447.98, 33,739.01 and 13,837.38

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Solution

The fourth proportional to 24,447.98, 33,739.01 and 13,837.38 is: 19,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.98 : 33,739.01 = 13,837.38 : x
  2. Step 2: Convert to fraction form
    24,447.98/33,739.01 = 13,837.38/x
  3. Step 3: Cross multiply
    24,447.98x = 33,739.01 × 13,837.38
  4. Step 4: Simplify right side
    24,447.98x = 466,859,433.01
  5. Step 5: Solve for x
    x = 466,859,433.01/24,447.98
  6. Step 6: Final answer
    x = 19,096.04

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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.