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Finding the Fourth Proportional to 16,857.61, 25,287.63 and 6,469.36

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Solution

The fourth proportional to 16,857.61, 25,287.63 and 6,469.36 is: 9,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.61 : 25,287.63 = 6,469.36 : x
  2. Step 2: Convert to fraction form
    16,857.61/25,287.63 = 6,469.36/x
  3. Step 3: Cross multiply
    16,857.61x = 25,287.63 × 6,469.36
  4. Step 4: Simplify right side
    16,857.61x = 163,594,718.80
  5. Step 5: Solve for x
    x = 163,594,718.80/16,857.61
  6. Step 6: Final answer
    x = 9,704.50

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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.