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Finding the Fourth Proportional to 12,900.88, 17,807.00 and 8,425.31

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Solution

The fourth proportional to 12,900.88, 17,807.00 and 8,425.31 is: 11,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.88 : 17,807.00 = 8,425.31 : x
  2. Step 2: Convert to fraction form
    12,900.88/17,807.00 = 8,425.31/x
  3. Step 3: Cross multiply
    12,900.88x = 17,807.00 × 8,425.31
  4. Step 4: Simplify right side
    12,900.88x = 150,029,364.01
  5. Step 5: Solve for x
    x = 150,029,364.01/12,900.88
  6. Step 6: Final answer
    x = 11,629.39

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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.