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Finding the Fourth Proportional to 27,005.24, 40,507.74 and 7,285.80

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Solution

The fourth proportional to 27,005.24, 40,507.74 and 7,285.80 is: 10,928.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.24 : 40,507.74 = 7,285.80 : x
  2. Step 2: Convert to fraction form
    27,005.24/40,507.74 = 7,285.80/x
  3. Step 3: Cross multiply
    27,005.24x = 40,507.74 × 7,285.80
  4. Step 4: Simplify right side
    27,005.24x = 295,131,292.09
  5. Step 5: Solve for x
    x = 295,131,292.09/27,005.24
  6. Step 6: Final answer
    x = 10,928.67

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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.