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Finding the Fourth Proportional to 13,487.62, 18,613.08 and 7,823.68

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Solution

The fourth proportional to 13,487.62, 18,613.08 and 7,823.68 is: 10,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.62 : 18,613.08 = 7,823.68 : x
  2. Step 2: Convert to fraction form
    13,487.62/18,613.08 = 7,823.68/x
  3. Step 3: Cross multiply
    13,487.62x = 18,613.08 × 7,823.68
  4. Step 4: Simplify right side
    13,487.62x = 145,622,781.73
  5. Step 5: Solve for x
    x = 145,622,781.73/13,487.62
  6. Step 6: Final answer
    x = 10,796.77

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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.