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Finding the Fourth Proportional to 24,523.15, 33,841.63 and 14,452.02

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Solution

The fourth proportional to 24,523.15, 33,841.63 and 14,452.02 is: 19,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.15 : 33,841.63 = 14,452.02 : x
  2. Step 2: Convert to fraction form
    24,523.15/33,841.63 = 14,452.02/x
  3. Step 3: Cross multiply
    24,523.15x = 33,841.63 × 14,452.02
  4. Step 4: Simplify right side
    24,523.15x = 489,079,744.38
  5. Step 5: Solve for x
    x = 489,079,744.38/24,523.15
  6. Step 6: Final answer
    x = 19,943.59

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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.