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Finding the Fourth Proportional to 14,833.71, 20,470.21 and 8,119.18

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Solution

The fourth proportional to 14,833.71, 20,470.21 and 8,119.18 is: 11,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.71 : 20,470.21 = 8,119.18 : x
  2. Step 2: Convert to fraction form
    14,833.71/20,470.21 = 8,119.18/x
  3. Step 3: Cross multiply
    14,833.71x = 20,470.21 × 8,119.18
  4. Step 4: Simplify right side
    14,833.71x = 166,201,319.63
  5. Step 5: Solve for x
    x = 166,201,319.63/14,833.71
  6. Step 6: Final answer
    x = 11,204.30

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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.