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Finding the Fourth Proportional to 14,835.29, 20,471.86 and 8,119.58

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Solution

The fourth proportional to 14,835.29, 20,471.86 and 8,119.58 is: 11,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835.29 : 20,471.86 = 8,119.58 : x
  2. Step 2: Convert to fraction form
    14,835.29/20,471.86 = 8,119.58/x
  3. Step 3: Cross multiply
    14,835.29x = 20,471.86 × 8,119.58
  4. Step 4: Simplify right side
    14,835.29x = 166,222,935.90
  5. Step 5: Solve for x
    x = 166,222,935.90/14,835.29
  6. Step 6: Final answer
    x = 11,204.56

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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.