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Finding the Fourth Proportional to 27,796.91, 41,702.01 and 9,076.98

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Solution

The fourth proportional to 27,796.91, 41,702.01 and 9,076.98 is: 13,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.91 : 41,702.01 = 9,076.98 : x
  2. Step 2: Convert to fraction form
    27,796.91/41,702.01 = 9,076.98/x
  3. Step 3: Cross multiply
    27,796.91x = 41,702.01 × 9,076.98
  4. Step 4: Simplify right side
    27,796.91x = 378,528,433.07
  5. Step 5: Solve for x
    x = 378,528,433.07/27,796.91
  6. Step 6: Final answer
    x = 13,617.64

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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.