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Finding the Fourth Proportional to 27,014.92, 40,523.94 and 7,295.07

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Solution

The fourth proportional to 27,014.92, 40,523.94 and 7,295.07 is: 10,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014.92 : 40,523.94 = 7,295.07 : x
  2. Step 2: Convert to fraction form
    27,014.92/40,523.94 = 7,295.07/x
  3. Step 3: Cross multiply
    27,014.92x = 40,523.94 × 7,295.07
  4. Step 4: Simplify right side
    27,014.92x = 295,624,978.98
  5. Step 5: Solve for x
    x = 295,624,978.98/27,014.92
  6. Step 6: Final answer
    x = 10,943.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.