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Finding the Fourth Proportional to 24,808.15, 37,204.37 and 8,164.47

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Solution

The fourth proportional to 24,808.15, 37,204.37 and 8,164.47 is: 12,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.15 : 37,204.37 = 8,164.47 : x
  2. Step 2: Convert to fraction form
    24,808.15/37,204.37 = 8,164.47/x
  3. Step 3: Cross multiply
    24,808.15x = 37,204.37 × 8,164.47
  4. Step 4: Simplify right side
    24,808.15x = 303,753,962.73
  5. Step 5: Solve for x
    x = 303,753,962.73/24,808.15
  6. Step 6: Final answer
    x = 12,244.12

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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.