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Finding the Fourth Proportional to 23,378.40, 35,067.60 and 9,524.16

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Solution

The fourth proportional to 23,378.40, 35,067.60 and 9,524.16 is: 14,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.40 : 35,067.60 = 9,524.16 : x
  2. Step 2: Convert to fraction form
    23,378.40/35,067.60 = 9,524.16/x
  3. Step 3: Cross multiply
    23,378.40x = 35,067.60 × 9,524.16
  4. Step 4: Simplify right side
    23,378.40x = 333,989,433.22
  5. Step 5: Solve for x
    x = 333,989,433.22/23,378.40
  6. Step 6: Final answer
    x = 14,286.24

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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.