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Finding the Fourth Proportional to 24,193.86, 33,394.48 and 14,633.76

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Solution

The fourth proportional to 24,193.86, 33,394.48 and 14,633.76 is: 20,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.86 : 33,394.48 = 14,633.76 : x
  2. Step 2: Convert to fraction form
    24,193.86/33,394.48 = 14,633.76/x
  3. Step 3: Cross multiply
    24,193.86x = 33,394.48 × 14,633.76
  4. Step 4: Simplify right side
    24,193.86x = 488,686,805.64
  5. Step 5: Solve for x
    x = 488,686,805.64/24,193.86
  6. Step 6: Final answer
    x = 20,198.79

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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.