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Finding the Fourth Proportional to 12,137.63, 18,207.81 and 3,818.84

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Solution

The fourth proportional to 12,137.63, 18,207.81 and 3,818.84 is: 5,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.63 : 18,207.81 = 3,818.84 : x
  2. Step 2: Convert to fraction form
    12,137.63/18,207.81 = 3,818.84/x
  3. Step 3: Cross multiply
    12,137.63x = 18,207.81 × 3,818.84
  4. Step 4: Simplify right side
    12,137.63x = 69,532,622.10
  5. Step 5: Solve for x
    x = 69,532,622.10/12,137.63
  6. Step 6: Final answer
    x = 5,728.68

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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.