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Finding the Fourth Proportional to 27,816.46, 41,729.22 and 9,091.06

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Solution

The fourth proportional to 27,816.46, 41,729.22 and 9,091.06 is: 13,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816.46 : 41,729.22 = 9,091.06 : x
  2. Step 2: Convert to fraction form
    27,816.46/41,729.22 = 9,091.06/x
  3. Step 3: Cross multiply
    27,816.46x = 41,729.22 × 9,091.06
  4. Step 4: Simplify right side
    27,816.46x = 379,362,842.77
  5. Step 5: Solve for x
    x = 379,362,842.77/27,816.46
  6. Step 6: Final answer
    x = 13,638.07

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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.