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Finding the Fourth Proportional to 24,333.82, 36,498.90 and 6,805.02

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Solution

The fourth proportional to 24,333.82, 36,498.90 and 6,805.02 is: 10,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.82 : 36,498.90 = 6,805.02 : x
  2. Step 2: Convert to fraction form
    24,333.82/36,498.90 = 6,805.02/x
  3. Step 3: Cross multiply
    24,333.82x = 36,498.90 × 6,805.02
  4. Step 4: Simplify right side
    24,333.82x = 248,375,744.48
  5. Step 5: Solve for x
    x = 248,375,744.48/24,333.82
  6. Step 6: Final answer
    x = 10,207.02

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