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Finding the Fourth Proportional to 13,183.92, 19,773.96 and 4,974

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Solution

The fourth proportional to 13,183.92, 19,773.96 and 4,974 is: 7,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.92 : 19,773.96 = 4,974 : x
  2. Step 2: Convert to fraction form
    13,183.92/19,773.96 = 4,974/x
  3. Step 3: Cross multiply
    13,183.92x = 19,773.96 × 4,974
  4. Step 4: Simplify right side
    13,183.92x = 98,355,677.04
  5. Step 5: Solve for x
    x = 98,355,677.04/13,183.92
  6. Step 6: Final answer
    x = 7,460.28

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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.