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Finding the Fourth Proportional to 12,989.62, 17,913.72 and 8,511.74

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Solution

The fourth proportional to 12,989.62, 17,913.72 and 8,511.74 is: 11,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.62 : 17,913.72 = 8,511.74 : x
  2. Step 2: Convert to fraction form
    12,989.62/17,913.72 = 8,511.74/x
  3. Step 3: Cross multiply
    12,989.62x = 17,913.72 × 8,511.74
  4. Step 4: Simplify right side
    12,989.62x = 152,476,927.07
  5. Step 5: Solve for x
    x = 152,476,927.07/12,989.62
  6. Step 6: Final answer
    x = 11,738.37

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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.