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Finding the Fourth Proportional to 23,658.42, 35,481.45 and 7,013.97

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Solution

The fourth proportional to 23,658.42, 35,481.45 and 7,013.97 is: 10,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.42 : 35,481.45 = 7,013.97 : x
  2. Step 2: Convert to fraction form
    23,658.42/35,481.45 = 7,013.97/x
  3. Step 3: Cross multiply
    23,658.42x = 35,481.45 × 7,013.97
  4. Step 4: Simplify right side
    23,658.42x = 248,865,825.86
  5. Step 5: Solve for x
    x = 248,865,825.86/23,658.42
  6. Step 6: Final answer
    x = 10,519.12

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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.