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Finding the Fourth Proportional to 24,057.12, 33,198.24 and 13,448

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Solution

The fourth proportional to 24,057.12, 33,198.24 and 13,448 is: 18,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.12 : 33,198.24 = 13,448 : x
  2. Step 2: Convert to fraction form
    24,057.12/33,198.24 = 13,448/x
  3. Step 3: Cross multiply
    24,057.12x = 33,198.24 × 13,448
  4. Step 4: Simplify right side
    24,057.12x = 446,449,931.52
  5. Step 5: Solve for x
    x = 446,449,931.52/24,057.12
  6. Step 6: Final answer
    x = 18,557.91

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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.