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Finding the Fourth Proportional to 21,946.96, 32,916.12 and 8,092.72

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Solution

The fourth proportional to 21,946.96, 32,916.12 and 8,092.72 is: 12,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946.96 : 32,916.12 = 8,092.72 : x
  2. Step 2: Convert to fraction form
    21,946.96/32,916.12 = 8,092.72/x
  3. Step 3: Cross multiply
    21,946.96x = 32,916.12 × 8,092.72
  4. Step 4: Simplify right side
    21,946.96x = 266,380,942.65
  5. Step 5: Solve for x
    x = 266,380,942.65/21,946.96
  6. Step 6: Final answer
    x = 12,137.49

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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.