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Finding the Fourth Proportional to 24,135.85, 33,305.65 and 13,523.43

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Solution

The fourth proportional to 24,135.85, 33,305.65 and 13,523.43 is: 18,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.85 : 33,305.65 = 13,523.43 : x
  2. Step 2: Convert to fraction form
    24,135.85/33,305.65 = 13,523.43/x
  3. Step 3: Cross multiply
    24,135.85x = 33,305.65 × 13,523.43
  4. Step 4: Simplify right side
    24,135.85x = 450,406,626.38
  5. Step 5: Solve for x
    x = 450,406,626.38/24,135.85
  6. Step 6: Final answer
    x = 18,661.31

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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.