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Finding the Fourth Proportional to 13,281.26, 18,327.78 and 7,616.96

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Solution

The fourth proportional to 13,281.26, 18,327.78 and 7,616.96 is: 10,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.26 : 18,327.78 = 7,616.96 : x
  2. Step 2: Convert to fraction form
    13,281.26/18,327.78 = 7,616.96/x
  3. Step 3: Cross multiply
    13,281.26x = 18,327.78 × 7,616.96
  4. Step 4: Simplify right side
    13,281.26x = 139,601,967.15
  5. Step 5: Solve for x
    x = 139,601,967.15/13,281.26
  6. Step 6: Final answer
    x = 10,511.20

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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.