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Finding the Fourth Proportional to 24,690.32, 37,022.87 and 8,039.66

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Solution

The fourth proportional to 24,690.32, 37,022.87 and 8,039.66 is: 12,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,690.32 : 37,022.87 = 8,039.66 : x
  2. Step 2: Convert to fraction form
    24,690.32/37,022.87 = 8,039.66/x
  3. Step 3: Cross multiply
    24,690.32x = 37,022.87 × 8,039.66
  4. Step 4: Simplify right side
    24,690.32x = 297,651,122.01
  5. Step 5: Solve for x
    x = 297,651,122.01/24,690.32
  6. Step 6: Final answer
    x = 12,055.38

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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.