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Finding the Fourth Proportional to 12,944.76, 17,863.74 and 7,355.76

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Solution

The fourth proportional to 12,944.76, 17,863.74 and 7,355.76 is: 10,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.76 : 17,863.74 = 7,355.76 : x
  2. Step 2: Convert to fraction form
    12,944.76/17,863.74 = 7,355.76/x
  3. Step 3: Cross multiply
    12,944.76x = 17,863.74 × 7,355.76
  4. Step 4: Simplify right side
    12,944.76x = 131,401,384.14
  5. Step 5: Solve for x
    x = 131,401,384.14/12,944.76
  6. Step 6: Final answer
    x = 10,150.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.