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Finding the Fourth Proportional to 14,945.65, 20,625 and 8,231.26

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Solution

The fourth proportional to 14,945.65, 20,625 and 8,231.26 is: 11,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,945.65 : 20,625 = 8,231.26 : x
  2. Step 2: Convert to fraction form
    14,945.65/20,625 = 8,231.26/x
  3. Step 3: Cross multiply
    14,945.65x = 20,625 × 8,231.26
  4. Step 4: Simplify right side
    14,945.65x = 169,769,737.50
  5. Step 5: Solve for x
    x = 169,769,737.50/14,945.65
  6. Step 6: Final answer
    x = 11,359.14

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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.