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Finding the Fourth Proportional to 14,287.20, 19,711.73 and 9,255.29

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Solution

The fourth proportional to 14,287.20, 19,711.73 and 9,255.29 is: 12,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.20 : 19,711.73 = 9,255.29 : x
  2. Step 2: Convert to fraction form
    14,287.20/19,711.73 = 9,255.29/x
  3. Step 3: Cross multiply
    14,287.20x = 19,711.73 × 9,255.29
  4. Step 4: Simplify right side
    14,287.20x = 182,437,632.72
  5. Step 5: Solve for x
    x = 182,437,632.72/14,287.20
  6. Step 6: Final answer
    x = 12,769.31

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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.