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Finding the Fourth Proportional to 24,823.12, 37,226.67 and 8,179.19

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Solution

The fourth proportional to 24,823.12, 37,226.67 and 8,179.19 is: 12,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.12 : 37,226.67 = 8,179.19 : x
  2. Step 2: Convert to fraction form
    24,823.12/37,226.67 = 8,179.19/x
  3. Step 3: Cross multiply
    24,823.12x = 37,226.67 × 8,179.19
  4. Step 4: Simplify right side
    24,823.12x = 304,484,007.00
  5. Step 5: Solve for x
    x = 304,484,007.00/24,823.12
  6. Step 6: Final answer
    x = 12,266.15

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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.