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Finding the Fourth Proportional to 11,613.60, 16,025.31 and 9,616.14

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Solution

The fourth proportional to 11,613.60, 16,025.31 and 9,616.14 is: 13,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.60 : 16,025.31 = 9,616.14 : x
  2. Step 2: Convert to fraction form
    11,613.60/16,025.31 = 9,616.14/x
  3. Step 3: Cross multiply
    11,613.60x = 16,025.31 × 9,616.14
  4. Step 4: Simplify right side
    11,613.60x = 154,101,624.50
  5. Step 5: Solve for x
    x = 154,101,624.50/11,613.60
  6. Step 6: Final answer
    x = 13,269.07

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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.