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Finding the Fourth Proportional to 12,172.02, 16,797.38 and 6,866.72

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Solution

The fourth proportional to 12,172.02, 16,797.38 and 6,866.72 is: 9,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.02 : 16,797.38 = 6,866.72 : x
  2. Step 2: Convert to fraction form
    12,172.02/16,797.38 = 6,866.72/x
  3. Step 3: Cross multiply
    12,172.02x = 16,797.38 × 6,866.72
  4. Step 4: Simplify right side
    12,172.02x = 115,342,905.19
  5. Step 5: Solve for x
    x = 115,342,905.19/12,172.02
  6. Step 6: Final answer
    x = 9,476.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.