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Finding the Fourth Proportional to 24,265.81, 33,487.49 and 13,655.82

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Solution

The fourth proportional to 24,265.81, 33,487.49 and 13,655.82 is: 18,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.81 : 33,487.49 = 13,655.82 : x
  2. Step 2: Convert to fraction form
    24,265.81/33,487.49 = 13,655.82/x
  3. Step 3: Cross multiply
    24,265.81x = 33,487.49 × 13,655.82
  4. Step 4: Simplify right side
    24,265.81x = 457,299,295.41
  5. Step 5: Solve for x
    x = 457,299,295.41/24,265.81
  6. Step 6: Final answer
    x = 18,845.42

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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.