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Finding the Fourth Proportional to 13,486.72, 18,609.92 and 7,516.80

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Solution

The fourth proportional to 13,486.72, 18,609.92 and 7,516.80 is: 10,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.72 : 18,609.92 = 7,516.80 : x
  2. Step 2: Convert to fraction form
    13,486.72/18,609.92 = 7,516.80/x
  3. Step 3: Cross multiply
    13,486.72x = 18,609.92 × 7,516.80
  4. Step 4: Simplify right side
    13,486.72x = 139,887,046.66
  5. Step 5: Solve for x
    x = 139,887,046.66/13,486.72
  6. Step 6: Final answer
    x = 10,372.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.