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Finding the Fourth Proportional to 23,611.60, 35,408.89 and 7,813.71

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Solution

The fourth proportional to 23,611.60, 35,408.89 and 7,813.71 is: 11,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.60 : 35,408.89 = 7,813.71 : x
  2. Step 2: Convert to fraction form
    23,611.60/35,408.89 = 7,813.71/x
  3. Step 3: Cross multiply
    23,611.60x = 35,408.89 × 7,813.71
  4. Step 4: Simplify right side
    23,611.60x = 276,674,876.64
  5. Step 5: Solve for x
    x = 276,674,876.64/23,611.60
  6. Step 6: Final answer
    x = 11,717.75

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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.