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Finding the Fourth Proportional to 15,500.50, 23,250.77 and 7,175.98

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Solution

The fourth proportional to 15,500.50, 23,250.77 and 7,175.98 is: 10,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500.50 : 23,250.77 = 7,175.98 : x
  2. Step 2: Convert to fraction form
    15,500.50/23,250.77 = 7,175.98/x
  3. Step 3: Cross multiply
    15,500.50x = 23,250.77 × 7,175.98
  4. Step 4: Simplify right side
    15,500.50x = 166,847,060.50
  5. Step 5: Solve for x
    x = 166,847,060.50/15,500.50
  6. Step 6: Final answer
    x = 10,763.98

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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.