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Finding the Fourth Proportional to 24,532.63, 33,855.02 and 13,354.63

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Solution

The fourth proportional to 24,532.63, 33,855.02 and 13,354.63 is: 18,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.63 : 33,855.02 = 13,354.63 : x
  2. Step 2: Convert to fraction form
    24,532.63/33,855.02 = 13,354.63/x
  3. Step 3: Cross multiply
    24,532.63x = 33,855.02 × 13,354.63
  4. Step 4: Simplify right side
    24,532.63x = 452,121,265.74
  5. Step 5: Solve for x
    x = 452,121,265.74/24,532.63
  6. Step 6: Final answer
    x = 18,429.38

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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.