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Finding the Fourth Proportional to 24,723.66, 37,093.77 and 8,084.46

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Solution

The fourth proportional to 24,723.66, 37,093.77 and 8,084.46 is: 12,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723.66 : 37,093.77 = 8,084.46 : x
  2. Step 2: Convert to fraction form
    24,723.66/37,093.77 = 8,084.46/x
  3. Step 3: Cross multiply
    24,723.66x = 37,093.77 × 8,084.46
  4. Step 4: Simplify right side
    24,723.66x = 299,883,099.81
  5. Step 5: Solve for x
    x = 299,883,099.81/24,723.66
  6. Step 6: Final answer
    x = 12,129.40

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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.