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Finding the Fourth Proportional to 19,766.34, 29,638.71 and 8,069.94

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Solution

The fourth proportional to 19,766.34, 29,638.71 and 8,069.94 is: 12,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.34 : 29,638.71 = 8,069.94 : x
  2. Step 2: Convert to fraction form
    19,766.34/29,638.71 = 8,069.94/x
  3. Step 3: Cross multiply
    19,766.34x = 29,638.71 × 8,069.94
  4. Step 4: Simplify right side
    19,766.34x = 239,182,611.38
  5. Step 5: Solve for x
    x = 239,182,611.38/19,766.34
  6. Step 6: Final answer
    x = 12,100.50

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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.