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Finding the Fourth Proportional to 12,544.30, 18,814.05 and 6,302.58

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Solution

The fourth proportional to 12,544.30, 18,814.05 and 6,302.58 is: 9,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.30 : 18,814.05 = 6,302.58 : x
  2. Step 2: Convert to fraction form
    12,544.30/18,814.05 = 6,302.58/x
  3. Step 3: Cross multiply
    12,544.30x = 18,814.05 × 6,302.58
  4. Step 4: Simplify right side
    12,544.30x = 118,577,149.44
  5. Step 5: Solve for x
    x = 118,577,149.44/12,544.30
  6. Step 6: Final answer
    x = 9,452.67

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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.