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Finding the Fourth Proportional to 24,730.74, 37,097.61 and 8,092.53

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Solution

The fourth proportional to 24,730.74, 37,097.61 and 8,092.53 is: 12,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.74 : 37,097.61 = 8,092.53 : x
  2. Step 2: Convert to fraction form
    24,730.74/37,097.61 = 8,092.53/x
  3. Step 3: Cross multiply
    24,730.74x = 37,097.61 × 8,092.53
  4. Step 4: Simplify right side
    24,730.74x = 300,213,521.85
  5. Step 5: Solve for x
    x = 300,213,521.85/24,730.74
  6. Step 6: Final answer
    x = 12,139.29

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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.