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Finding the Fourth Proportional to 23,642.72, 35,465.80 and 6,775.48

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Solution

The fourth proportional to 23,642.72, 35,465.80 and 6,775.48 is: 10,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.72 : 35,465.80 = 6,775.48 : x
  2. Step 2: Convert to fraction form
    23,642.72/35,465.80 = 6,775.48/x
  3. Step 3: Cross multiply
    23,642.72x = 35,465.80 × 6,775.48
  4. Step 4: Simplify right side
    23,642.72x = 240,297,858.68
  5. Step 5: Solve for x
    x = 240,297,858.68/23,642.72
  6. Step 6: Final answer
    x = 10,163.72

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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.