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Finding the Fourth Proportional to 23,885.28, 35,835.12 and 9,646.44

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Solution

The fourth proportional to 23,885.28, 35,835.12 and 9,646.44 is: 14,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.28 : 35,835.12 = 9,646.44 : x
  2. Step 2: Convert to fraction form
    23,885.28/35,835.12 = 9,646.44/x
  3. Step 3: Cross multiply
    23,885.28x = 35,835.12 × 9,646.44
  4. Step 4: Simplify right side
    23,885.28x = 345,681,334.97
  5. Step 5: Solve for x
    x = 345,681,334.97/23,885.28
  6. Step 6: Final answer
    x = 14,472.57

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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.