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Finding the Fourth Proportional to 16,846.30, 25,277.55 and 12,896.20

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Solution

The fourth proportional to 16,846.30, 25,277.55 and 12,896.20 is: 19,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.30 : 25,277.55 = 12,896.20 : x
  2. Step 2: Convert to fraction form
    16,846.30/25,277.55 = 12,896.20/x
  3. Step 3: Cross multiply
    16,846.30x = 25,277.55 × 12,896.20
  4. Step 4: Simplify right side
    16,846.30x = 325,984,340.31
  5. Step 5: Solve for x
    x = 325,984,340.31/16,846.30
  6. Step 6: Final answer
    x = 19,350.50

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Why These Related Problems?

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