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Finding the Fourth Proportional to 24,805.64, 37,205.51 and 8,161.55

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Solution

The fourth proportional to 24,805.64, 37,205.51 and 8,161.55 is: 12,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.64 : 37,205.51 = 8,161.55 : x
  2. Step 2: Convert to fraction form
    24,805.64/37,205.51 = 8,161.55/x
  3. Step 3: Cross multiply
    24,805.64x = 37,205.51 × 8,161.55
  4. Step 4: Simplify right side
    24,805.64x = 303,654,557.53
  5. Step 5: Solve for x
    x = 303,654,557.53/24,805.64
  6. Step 6: Final answer
    x = 12,241.35

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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.