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Finding the Fourth Proportional to 13,429.75, 18,534.74 and 8,124.54

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Solution

The fourth proportional to 13,429.75, 18,534.74 and 8,124.54 is: 11,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.75 : 18,534.74 = 8,124.54 : x
  2. Step 2: Convert to fraction form
    13,429.75/18,534.74 = 8,124.54/x
  3. Step 3: Cross multiply
    13,429.75x = 18,534.74 × 8,124.54
  4. Step 4: Simplify right side
    13,429.75x = 150,586,236.52
  5. Step 5: Solve for x
    x = 150,586,236.52/13,429.75
  6. Step 6: Final answer
    x = 11,212.88

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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.