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Finding the Fourth Proportional to 27,825.87, 41,740.04 and 9,106.99

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Solution

The fourth proportional to 27,825.87, 41,740.04 and 9,106.99 is: 13,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.87 : 41,740.04 = 9,106.99 : x
  2. Step 2: Convert to fraction form
    27,825.87/41,740.04 = 9,106.99/x
  3. Step 3: Cross multiply
    27,825.87x = 41,740.04 × 9,106.99
  4. Step 4: Simplify right side
    27,825.87x = 380,126,126.88
  5. Step 5: Solve for x
    x = 380,126,126.88/27,825.87
  6. Step 6: Final answer
    x = 13,660.89

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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.