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Finding the Fourth Proportional to 24,517.99, 33,833.80 and 13,909.63

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Solution

The fourth proportional to 24,517.99, 33,833.80 and 13,909.63 is: 19,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.99 : 33,833.80 = 13,909.63 : x
  2. Step 2: Convert to fraction form
    24,517.99/33,833.80 = 13,909.63/x
  3. Step 3: Cross multiply
    24,517.99x = 33,833.80 × 13,909.63
  4. Step 4: Simplify right side
    24,517.99x = 470,615,639.49
  5. Step 5: Solve for x
    x = 470,615,639.49/24,517.99
  6. Step 6: Final answer
    x = 19,194.71

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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.