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Finding the Fourth Proportional to 24,841.59, 37,266.08 and 8,203.38

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Solution

The fourth proportional to 24,841.59, 37,266.08 and 8,203.38 is: 12,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.59 : 37,266.08 = 8,203.38 : x
  2. Step 2: Convert to fraction form
    24,841.59/37,266.08 = 8,203.38/x
  3. Step 3: Cross multiply
    24,841.59x = 37,266.08 × 8,203.38
  4. Step 4: Simplify right side
    24,841.59x = 305,707,815.35
  5. Step 5: Solve for x
    x = 305,707,815.35/24,841.59
  6. Step 6: Final answer
    x = 12,306.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.