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Finding the Fourth Proportional to 23,707.68, 35,567.36 and 7,067.64

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Solution

The fourth proportional to 23,707.68, 35,567.36 and 7,067.64 is: 10,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.68 : 35,567.36 = 7,067.64 : x
  2. Step 2: Convert to fraction form
    23,707.68/35,567.36 = 7,067.64/x
  3. Step 3: Cross multiply
    23,707.68x = 35,567.36 × 7,067.64
  4. Step 4: Simplify right side
    23,707.68x = 251,377,296.23
  5. Step 5: Solve for x
    x = 251,377,296.23/23,707.68
  6. Step 6: Final answer
    x = 10,603.20

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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.