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Finding the Fourth Proportional to 27,761.54, 41,642.91 and 11,129.40

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Solution

The fourth proportional to 27,761.54, 41,642.91 and 11,129.40 is: 16,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.54 : 41,642.91 = 11,129.40 : x
  2. Step 2: Convert to fraction form
    27,761.54/41,642.91 = 11,129.40/x
  3. Step 3: Cross multiply
    27,761.54x = 41,642.91 × 11,129.40
  4. Step 4: Simplify right side
    27,761.54x = 463,460,602.55
  5. Step 5: Solve for x
    x = 463,460,602.55/27,761.54
  6. Step 6: Final answer
    x = 16,694.34

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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.