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Finding the Fourth Proportional to 14,631.57, 20,183.99 and 9,317.16

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Solution

The fourth proportional to 14,631.57, 20,183.99 and 9,317.16 is: 12,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631.57 : 20,183.99 = 9,317.16 : x
  2. Step 2: Convert to fraction form
    14,631.57/20,183.99 = 9,317.16/x
  3. Step 3: Cross multiply
    14,631.57x = 20,183.99 × 9,317.16
  4. Step 4: Simplify right side
    14,631.57x = 188,057,417.68
  5. Step 5: Solve for x
    x = 188,057,417.68/14,631.57
  6. Step 6: Final answer
    x = 12,852.85

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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.