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Finding the Fourth Proportional to 23,085.72, 34,629.64 and 7,074.11

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Solution

The fourth proportional to 23,085.72, 34,629.64 and 7,074.11 is: 10,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.72 : 34,629.64 = 7,074.11 : x
  2. Step 2: Convert to fraction form
    23,085.72/34,629.64 = 7,074.11/x
  3. Step 3: Cross multiply
    23,085.72x = 34,629.64 × 7,074.11
  4. Step 4: Simplify right side
    23,085.72x = 244,973,882.62
  5. Step 5: Solve for x
    x = 244,973,882.62/23,085.72
  6. Step 6: Final answer
    x = 10,611.49

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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.