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Finding the Fourth Proportional to 14,833.57, 20,470.11 and 8,119.02

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Solution

The fourth proportional to 14,833.57, 20,470.11 and 8,119.02 is: 11,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.57 : 20,470.11 = 8,119.02 : x
  2. Step 2: Convert to fraction form
    14,833.57/20,470.11 = 8,119.02/x
  3. Step 3: Cross multiply
    14,833.57x = 20,470.11 × 8,119.02
  4. Step 4: Simplify right side
    14,833.57x = 166,197,232.49
  5. Step 5: Solve for x
    x = 166,197,232.49/14,833.57
  6. Step 6: Final answer
    x = 11,204.13

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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.