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Finding the Fourth Proportional to 19,183.94, 28,781.83 and 9,830.57

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Solution

The fourth proportional to 19,183.94, 28,781.83 and 9,830.57 is: 14,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.94 : 28,781.83 = 9,830.57 : x
  2. Step 2: Convert to fraction form
    19,183.94/28,781.83 = 9,830.57/x
  3. Step 3: Cross multiply
    19,183.94x = 28,781.83 × 9,830.57
  4. Step 4: Simplify right side
    19,183.94x = 282,941,662.92
  5. Step 5: Solve for x
    x = 282,941,662.92/19,183.94
  6. Step 6: Final answer
    x = 14,748.88

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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.