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Finding the Fourth Proportional to 14,517.56, 21,777.34 and 5,752.46

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Solution

The fourth proportional to 14,517.56, 21,777.34 and 5,752.46 is: 8,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.56 : 21,777.34 = 5,752.46 : x
  2. Step 2: Convert to fraction form
    14,517.56/21,777.34 = 5,752.46/x
  3. Step 3: Cross multiply
    14,517.56x = 21,777.34 × 5,752.46
  4. Step 4: Simplify right side
    14,517.56x = 125,273,277.26
  5. Step 5: Solve for x
    x = 125,273,277.26/14,517.56
  6. Step 6: Final answer
    x = 8,629.09

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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.