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Finding the Fourth Proportional to 27,613.16, 41,415.42 and 9,145.16

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Solution

The fourth proportional to 27,613.16, 41,415.42 and 9,145.16 is: 13,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.16 : 41,415.42 = 9,145.16 : x
  2. Step 2: Convert to fraction form
    27,613.16/41,415.42 = 9,145.16/x
  3. Step 3: Cross multiply
    27,613.16x = 41,415.42 × 9,145.16
  4. Step 4: Simplify right side
    27,613.16x = 378,750,642.37
  5. Step 5: Solve for x
    x = 378,750,642.37/27,613.16
  6. Step 6: Final answer
    x = 13,716.31

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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.