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Finding the Fourth Proportional to 14,833.40, 20,469.74 and 8,119.08

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Solution

The fourth proportional to 14,833.40, 20,469.74 and 8,119.08 is: 11,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.40 : 20,469.74 = 8,119.08 : x
  2. Step 2: Convert to fraction form
    14,833.40/20,469.74 = 8,119.08/x
  3. Step 3: Cross multiply
    14,833.40x = 20,469.74 × 8,119.08
  4. Step 4: Simplify right side
    14,833.40x = 166,195,456.64
  5. Step 5: Solve for x
    x = 166,195,456.64/14,833.40
  6. Step 6: Final answer
    x = 11,204.14

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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.