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Finding the Fourth Proportional to 24,057.63, 33,199.32 and 13,850.66

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Solution

The fourth proportional to 24,057.63, 33,199.32 and 13,850.66 is: 19,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.63 : 33,199.32 = 13,850.66 : x
  2. Step 2: Convert to fraction form
    24,057.63/33,199.32 = 13,850.66/x
  3. Step 3: Cross multiply
    24,057.63x = 33,199.32 × 13,850.66
  4. Step 4: Simplify right side
    24,057.63x = 459,832,493.55
  5. Step 5: Solve for x
    x = 459,832,493.55/24,057.63
  6. Step 6: Final answer
    x = 19,113.79

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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.