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Finding the Fourth Proportional to 16,852.56, 25,278.12 and 5,760.24

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Solution

The fourth proportional to 16,852.56, 25,278.12 and 5,760.24 is: 8,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.56 : 25,278.12 = 5,760.24 : x
  2. Step 2: Convert to fraction form
    16,852.56/25,278.12 = 5,760.24/x
  3. Step 3: Cross multiply
    16,852.56x = 25,278.12 × 5,760.24
  4. Step 4: Simplify right side
    16,852.56x = 145,608,037.95
  5. Step 5: Solve for x
    x = 145,608,037.95/16,852.56
  6. Step 6: Final answer
    x = 8,640.11

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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.