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Finding the Fourth Proportional to 14,833.67, 20,470.40 and 8,119.28

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Solution

The fourth proportional to 14,833.67, 20,470.40 and 8,119.28 is: 11,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.67 : 20,470.40 = 8,119.28 : x
  2. Step 2: Convert to fraction form
    14,833.67/20,470.40 = 8,119.28/x
  3. Step 3: Cross multiply
    14,833.67x = 20,470.40 × 8,119.28
  4. Step 4: Simplify right side
    14,833.67x = 166,204,835.19
  5. Step 5: Solve for x
    x = 166,204,835.19/14,833.67
  6. Step 6: Final answer
    x = 11,204.57

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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.