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Finding the Fourth Proportional to 24,403.38, 33,676.86 and 13,225.38

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Solution

The fourth proportional to 24,403.38, 33,676.86 and 13,225.38 is: 18,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,403.38 : 33,676.86 = 13,225.38 : x
  2. Step 2: Convert to fraction form
    24,403.38/33,676.86 = 13,225.38/x
  3. Step 3: Cross multiply
    24,403.38x = 33,676.86 × 13,225.38
  4. Step 4: Simplify right side
    24,403.38x = 445,389,270.71
  5. Step 5: Solve for x
    x = 445,389,270.71/24,403.38
  6. Step 6: Final answer
    x = 18,251.13

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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.