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Finding the Fourth Proportional to 14,183.14, 19,572.57 and 7,809.60

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Solution

The fourth proportional to 14,183.14, 19,572.57 and 7,809.60 is: 10,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.14 : 19,572.57 = 7,809.60 : x
  2. Step 2: Convert to fraction form
    14,183.14/19,572.57 = 7,809.60/x
  3. Step 3: Cross multiply
    14,183.14x = 19,572.57 × 7,809.60
  4. Step 4: Simplify right side
    14,183.14x = 152,853,942.67
  5. Step 5: Solve for x
    x = 152,853,942.67/14,183.14
  6. Step 6: Final answer
    x = 10,777.16

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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.