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Finding the Fourth Proportional to 12,434.57, 18,652.22 and 3,074.58

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Solution

The fourth proportional to 12,434.57, 18,652.22 and 3,074.58 is: 4,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.57 : 18,652.22 = 3,074.58 : x
  2. Step 2: Convert to fraction form
    12,434.57/18,652.22 = 3,074.58/x
  3. Step 3: Cross multiply
    12,434.57x = 18,652.22 × 3,074.58
  4. Step 4: Simplify right side
    12,434.57x = 57,347,742.57
  5. Step 5: Solve for x
    x = 57,347,742.57/12,434.57
  6. Step 6: Final answer
    x = 4,611.96

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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.