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Finding the Fourth Proportional to 14,369.68, 19,832.20 and 8,082.64

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Solution

The fourth proportional to 14,369.68, 19,832.20 and 8,082.64 is: 11,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.68 : 19,832.20 = 8,082.64 : x
  2. Step 2: Convert to fraction form
    14,369.68/19,832.20 = 8,082.64/x
  3. Step 3: Cross multiply
    14,369.68x = 19,832.20 × 8,082.64
  4. Step 4: Simplify right side
    14,369.68x = 160,296,533.01
  5. Step 5: Solve for x
    x = 160,296,533.01/14,369.68
  6. Step 6: Final answer
    x = 11,155.19

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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.