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Finding the Fourth Proportional to 19,672.62, 29,511.90 and 6,522

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Solution

The fourth proportional to 19,672.62, 29,511.90 and 6,522 is: 9,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.62 : 29,511.90 = 6,522 : x
  2. Step 2: Convert to fraction form
    19,672.62/29,511.90 = 6,522/x
  3. Step 3: Cross multiply
    19,672.62x = 29,511.90 × 6,522
  4. Step 4: Simplify right side
    19,672.62x = 192,476,611.80
  5. Step 5: Solve for x
    x = 192,476,611.80/19,672.62
  6. Step 6: Final answer
    x = 9,783.98

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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.