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Finding the Fourth Proportional to 23,004.92, 34,507.34 and 7,211.16

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Solution

The fourth proportional to 23,004.92, 34,507.34 and 7,211.16 is: 10,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004.92 : 34,507.34 = 7,211.16 : x
  2. Step 2: Convert to fraction form
    23,004.92/34,507.34 = 7,211.16/x
  3. Step 3: Cross multiply
    23,004.92x = 34,507.34 × 7,211.16
  4. Step 4: Simplify right side
    23,004.92x = 248,837,949.91
  5. Step 5: Solve for x
    x = 248,837,949.91/23,004.92
  6. Step 6: Final answer
    x = 10,816.73

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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.