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Finding the Fourth Proportional to 14,796.82, 20,420.05 and 8,082.81

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Solution

The fourth proportional to 14,796.82, 20,420.05 and 8,082.81 is: 11,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.82 : 20,420.05 = 8,082.81 : x
  2. Step 2: Convert to fraction form
    14,796.82/20,420.05 = 8,082.81/x
  3. Step 3: Cross multiply
    14,796.82x = 20,420.05 × 8,082.81
  4. Step 4: Simplify right side
    14,796.82x = 165,051,384.34
  5. Step 5: Solve for x
    x = 165,051,384.34/14,796.82
  6. Step 6: Final answer
    x = 11,154.52

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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.