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Finding the Fourth Proportional to 12,800.36, 19,198.24 and 9,087.50

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Solution

The fourth proportional to 12,800.36, 19,198.24 and 9,087.50 is: 13,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.36 : 19,198.24 = 9,087.50 : x
  2. Step 2: Convert to fraction form
    12,800.36/19,198.24 = 9,087.50/x
  3. Step 3: Cross multiply
    12,800.36x = 19,198.24 × 9,087.50
  4. Step 4: Simplify right side
    12,800.36x = 174,464,043.28
  5. Step 5: Solve for x
    x = 174,464,043.28/12,800.36
  6. Step 6: Final answer
    x = 13,629.62

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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.