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Finding the Fourth Proportional to 12,900.36, 17,807.94 and 8,714.28

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Solution

The fourth proportional to 12,900.36, 17,807.94 and 8,714.28 is: 12,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.36 : 17,807.94 = 8,714.28 : x
  2. Step 2: Convert to fraction form
    12,900.36/17,807.94 = 8,714.28/x
  3. Step 3: Cross multiply
    12,900.36x = 17,807.94 × 8,714.28
  4. Step 4: Simplify right side
    12,900.36x = 155,183,375.38
  5. Step 5: Solve for x
    x = 155,183,375.38/12,900.36
  6. Step 6: Final answer
    x = 12,029.38

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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.