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Finding the Fourth Proportional to 23,500.80, 35,250.72 and 9,649.92

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Solution

The fourth proportional to 23,500.80, 35,250.72 and 9,649.92 is: 14,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.80 : 35,250.72 = 9,649.92 : x
  2. Step 2: Convert to fraction form
    23,500.80/35,250.72 = 9,649.92/x
  3. Step 3: Cross multiply
    23,500.80x = 35,250.72 × 9,649.92
  4. Step 4: Simplify right side
    23,500.80x = 340,166,627.94
  5. Step 5: Solve for x
    x = 340,166,627.94/23,500.80
  6. Step 6: Final answer
    x = 14,474.68

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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.