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Finding the Fourth Proportional to 13,613.68, 20,429.16 and 7,377.94

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Solution

The fourth proportional to 13,613.68, 20,429.16 and 7,377.94 is: 11,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.68 : 20,429.16 = 7,377.94 : x
  2. Step 2: Convert to fraction form
    13,613.68/20,429.16 = 7,377.94/x
  3. Step 3: Cross multiply
    13,613.68x = 20,429.16 × 7,377.94
  4. Step 4: Simplify right side
    13,613.68x = 150,725,116.73
  5. Step 5: Solve for x
    x = 150,725,116.73/13,613.68
  6. Step 6: Final answer
    x = 11,071.59

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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.