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Finding the Fourth Proportional to 24,447.99, 33,731.42 and 13,837.40

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Solution

The fourth proportional to 24,447.99, 33,731.42 and 13,837.40 is: 19,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.99 : 33,731.42 = 13,837.40 : x
  2. Step 2: Convert to fraction form
    24,447.99/33,731.42 = 13,837.40/x
  3. Step 3: Cross multiply
    24,447.99x = 33,731.42 × 13,837.40
  4. Step 4: Simplify right side
    24,447.99x = 466,755,017.04
  5. Step 5: Solve for x
    x = 466,755,017.04/24,447.99
  6. Step 6: Final answer
    x = 19,091.75

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