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Finding the Fourth Proportional to 23,847.32, 35,770.70 and 9,813.80

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Solution

The fourth proportional to 23,847.32, 35,770.70 and 9,813.80 is: 14,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.32 : 35,770.70 = 9,813.80 : x
  2. Step 2: Convert to fraction form
    23,847.32/35,770.70 = 9,813.80/x
  3. Step 3: Cross multiply
    23,847.32x = 35,770.70 × 9,813.80
  4. Step 4: Simplify right side
    23,847.32x = 351,046,495.66
  5. Step 5: Solve for x
    x = 351,046,495.66/23,847.32
  6. Step 6: Final answer
    x = 14,720.58

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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.