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Finding the Fourth Proportional to 24,817.66, 37,230.18 and 8,174.62

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Solution

The fourth proportional to 24,817.66, 37,230.18 and 8,174.62 is: 12,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.66 : 37,230.18 = 8,174.62 : x
  2. Step 2: Convert to fraction form
    24,817.66/37,230.18 = 8,174.62/x
  3. Step 3: Cross multiply
    24,817.66x = 37,230.18 × 8,174.62
  4. Step 4: Simplify right side
    24,817.66x = 304,342,574.03
  5. Step 5: Solve for x
    x = 304,342,574.03/24,817.66
  6. Step 6: Final answer
    x = 12,263.15

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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.