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Finding the Fourth Proportional to 23,649.86, 35,481.47 and 7,009.83

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Solution

The fourth proportional to 23,649.86, 35,481.47 and 7,009.83 is: 10,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.86 : 35,481.47 = 7,009.83 : x
  2. Step 2: Convert to fraction form
    23,649.86/35,481.47 = 7,009.83/x
  3. Step 3: Cross multiply
    23,649.86x = 35,481.47 × 7,009.83
  4. Step 4: Simplify right side
    23,649.86x = 248,719,037.80
  5. Step 5: Solve for x
    x = 248,719,037.80/23,649.86
  6. Step 6: Final answer
    x = 10,516.73

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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.