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Finding the Fourth Proportional to 27,554, 41,331.02 and 9,086

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Solution

The fourth proportional to 27,554, 41,331.02 and 9,086 is: 13,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,554 : 41,331.02 = 9,086 : x
  2. Step 2: Convert to fraction form
    27,554/41,331.02 = 9,086/x
  3. Step 3: Cross multiply
    27,554x = 41,331.02 × 9,086
  4. Step 4: Simplify right side
    27,554x = 375,533,647.72
  5. Step 5: Solve for x
    x = 375,533,647.72/27,554
  6. Step 6: Final answer
    x = 13,629.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.