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Finding the Fourth Proportional to 15,297.98, 22,944.20 and 9,734.78

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Solution

The fourth proportional to 15,297.98, 22,944.20 and 9,734.78 is: 14,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.98 : 22,944.20 = 9,734.78 : x
  2. Step 2: Convert to fraction form
    15,297.98/22,944.20 = 9,734.78/x
  3. Step 3: Cross multiply
    15,297.98x = 22,944.20 × 9,734.78
  4. Step 4: Simplify right side
    15,297.98x = 223,356,747.96
  5. Step 5: Solve for x
    x = 223,356,747.96/15,297.98
  6. Step 6: Final answer
    x = 14,600.41

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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.