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Finding the Fourth Proportional to 14,833.48, 20,470.20 and 8,119.12

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Solution

The fourth proportional to 14,833.48, 20,470.20 and 8,119.12 is: 11,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.48 : 20,470.20 = 8,119.12 : x
  2. Step 2: Convert to fraction form
    14,833.48/20,470.20 = 8,119.12/x
  3. Step 3: Cross multiply
    14,833.48x = 20,470.20 × 8,119.12
  4. Step 4: Simplify right side
    14,833.48x = 166,200,010.22
  5. Step 5: Solve for x
    x = 166,200,010.22/14,833.48
  6. Step 6: Final answer
    x = 11,204.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.