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Finding the Fourth Proportional to 24,846.93, 37,274.18 and 8,208.72

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Solution

The fourth proportional to 24,846.93, 37,274.18 and 8,208.72 is: 12,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.93 : 37,274.18 = 8,208.72 : x
  2. Step 2: Convert to fraction form
    24,846.93/37,274.18 = 8,208.72/x
  3. Step 3: Cross multiply
    24,846.93x = 37,274.18 × 8,208.72
  4. Step 4: Simplify right side
    24,846.93x = 305,973,265.81
  5. Step 5: Solve for x
    x = 305,973,265.81/24,846.93
  6. Step 6: Final answer
    x = 12,314.33

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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.