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Finding the Fourth Proportional to 27,802.80, 41,704.07 and 9,334.80

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Solution

The fourth proportional to 27,802.80, 41,704.07 and 9,334.80 is: 14,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.80 : 41,704.07 = 9,334.80 : x
  2. Step 2: Convert to fraction form
    27,802.80/41,704.07 = 9,334.80/x
  3. Step 3: Cross multiply
    27,802.80x = 41,704.07 × 9,334.80
  4. Step 4: Simplify right side
    27,802.80x = 389,299,105.96
  5. Step 5: Solve for x
    x = 389,299,105.96/27,802.80
  6. Step 6: Final answer
    x = 14,002.15

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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.