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Finding the Fourth Proportional to 12,989.37, 17,913.56 and 8,511.49

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Solution

The fourth proportional to 12,989.37, 17,913.56 and 8,511.49 is: 11,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.37 : 17,913.56 = 8,511.49 : x
  2. Step 2: Convert to fraction form
    12,989.37/17,913.56 = 8,511.49/x
  3. Step 3: Cross multiply
    12,989.37x = 17,913.56 × 8,511.49
  4. Step 4: Simplify right side
    12,989.37x = 152,471,044.25
  5. Step 5: Solve for x
    x = 152,471,044.25/12,989.37
  6. Step 6: Final answer
    x = 11,738.14

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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.