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Finding the Fourth Proportional to 24,057.94, 33,199.34 and 13,447.64

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Solution

The fourth proportional to 24,057.94, 33,199.34 and 13,447.64 is: 18,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.94 : 33,199.34 = 13,447.64 : x
  2. Step 2: Convert to fraction form
    24,057.94/33,199.34 = 13,447.64/x
  3. Step 3: Cross multiply
    24,057.94x = 33,199.34 × 13,447.64
  4. Step 4: Simplify right side
    24,057.94x = 446,452,772.56
  5. Step 5: Solve for x
    x = 446,452,772.56/24,057.94
  6. Step 6: Final answer
    x = 18,557.40

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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.