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Finding the Fourth Proportional to 12,506.40, 18,758.34 and 3,741.30

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Solution

The fourth proportional to 12,506.40, 18,758.34 and 3,741.30 is: 5,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.40 : 18,758.34 = 3,741.30 : x
  2. Step 2: Convert to fraction form
    12,506.40/18,758.34 = 3,741.30/x
  3. Step 3: Cross multiply
    12,506.40x = 18,758.34 × 3,741.30
  4. Step 4: Simplify right side
    12,506.40x = 70,180,577.44
  5. Step 5: Solve for x
    x = 70,180,577.44/12,506.40
  6. Step 6: Final answer
    x = 5,611.57

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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.