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Finding the Fourth Proportional to 24,471, 33,770.39 and 13,293

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Solution

The fourth proportional to 24,471, 33,770.39 and 13,293 is: 18,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471 : 33,770.39 = 13,293 : x
  2. Step 2: Convert to fraction form
    24,471/33,770.39 = 13,293/x
  3. Step 3: Cross multiply
    24,471x = 33,770.39 × 13,293
  4. Step 4: Simplify right side
    24,471x = 448,909,727.81
  5. Step 5: Solve for x
    x = 448,909,727.81/24,471
  6. Step 6: Final answer
    x = 18,344.56

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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.