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Finding the Fourth Proportional to 14,797.36, 20,420.04 and 8,082.82

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Solution

The fourth proportional to 14,797.36, 20,420.04 and 8,082.82 is: 11,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.36 : 20,420.04 = 8,082.82 : x
  2. Step 2: Convert to fraction form
    14,797.36/20,420.04 = 8,082.82/x
  3. Step 3: Cross multiply
    14,797.36x = 20,420.04 × 8,082.82
  4. Step 4: Simplify right side
    14,797.36x = 165,051,507.71
  5. Step 5: Solve for x
    x = 165,051,507.71/14,797.36
  6. Step 6: Final answer
    x = 11,154.12

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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.