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Finding the Fourth Proportional to 14,542.75, 21,812.91 and 5,775.31

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Solution

The fourth proportional to 14,542.75, 21,812.91 and 5,775.31 is: 8,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.75 : 21,812.91 = 5,775.31 : x
  2. Step 2: Convert to fraction form
    14,542.75/21,812.91 = 5,775.31/x
  3. Step 3: Cross multiply
    14,542.75x = 21,812.91 × 5,775.31
  4. Step 4: Simplify right side
    14,542.75x = 125,976,322.86
  5. Step 5: Solve for x
    x = 125,976,322.86/14,542.75
  6. Step 6: Final answer
    x = 8,662.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.