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Finding the Fourth Proportional to 24,419.48, 33,694.38 and 14,349.56

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Solution

The fourth proportional to 24,419.48, 33,694.38 and 14,349.56 is: 19,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419.48 : 33,694.38 = 14,349.56 : x
  2. Step 2: Convert to fraction form
    24,419.48/33,694.38 = 14,349.56/x
  3. Step 3: Cross multiply
    24,419.48x = 33,694.38 × 14,349.56
  4. Step 4: Simplify right side
    24,419.48x = 483,499,527.47
  5. Step 5: Solve for x
    x = 483,499,527.47/24,419.48
  6. Step 6: Final answer
    x = 19,799.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.