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Finding the Fourth Proportional to 24,478.44, 33,780.42 and 13,300.44

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Solution

The fourth proportional to 24,478.44, 33,780.42 and 13,300.44 is: 18,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.44 : 33,780.42 = 13,300.44 : x
  2. Step 2: Convert to fraction form
    24,478.44/33,780.42 = 13,300.44/x
  3. Step 3: Cross multiply
    24,478.44x = 33,780.42 × 13,300.44
  4. Step 4: Simplify right side
    24,478.44x = 449,294,449.38
  5. Step 5: Solve for x
    x = 449,294,449.38/24,478.44
  6. Step 6: Final answer
    x = 18,354.70

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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.