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Finding the Fourth Proportional to 24,119.71, 33,286.22 and 14,046.53

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Solution

The fourth proportional to 24,119.71, 33,286.22 and 14,046.53 is: 19,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119.71 : 33,286.22 = 14,046.53 : x
  2. Step 2: Convert to fraction form
    24,119.71/33,286.22 = 14,046.53/x
  3. Step 3: Cross multiply
    24,119.71x = 33,286.22 × 14,046.53
  4. Step 4: Simplify right side
    24,119.71x = 467,555,703.83
  5. Step 5: Solve for x
    x = 467,555,703.83/24,119.71
  6. Step 6: Final answer
    x = 19,384.80

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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.