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Finding the Fourth Proportional to 27,516.36, 41,274.54 and 9,986.16

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Solution

The fourth proportional to 27,516.36, 41,274.54 and 9,986.16 is: 14,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,516.36 : 41,274.54 = 9,986.16 : x
  2. Step 2: Convert to fraction form
    27,516.36/41,274.54 = 9,986.16/x
  3. Step 3: Cross multiply
    27,516.36x = 41,274.54 × 9,986.16
  4. Step 4: Simplify right side
    27,516.36x = 412,174,160.37
  5. Step 5: Solve for x
    x = 412,174,160.37/27,516.36
  6. Step 6: Final answer
    x = 14,979.24

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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.