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Finding the Fourth Proportional to 23,605.32, 35,399.34 and 7,807.44

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Solution

The fourth proportional to 23,605.32, 35,399.34 and 7,807.44 is: 11,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605.32 : 35,399.34 = 7,807.44 : x
  2. Step 2: Convert to fraction form
    23,605.32/35,399.34 = 7,807.44/x
  3. Step 3: Cross multiply
    23,605.32x = 35,399.34 × 7,807.44
  4. Step 4: Simplify right side
    23,605.32x = 276,378,223.09
  5. Step 5: Solve for x
    x = 276,378,223.09/23,605.32
  6. Step 6: Final answer
    x = 11,708.30

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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.