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Finding the Fourth Proportional to 15,906.60, 23,868 and 6,553.80

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Solution

The fourth proportional to 15,906.60, 23,868 and 6,553.80 is: 9,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.60 : 23,868 = 6,553.80 : x
  2. Step 2: Convert to fraction form
    15,906.60/23,868 = 6,553.80/x
  3. Step 3: Cross multiply
    15,906.60x = 23,868 × 6,553.80
  4. Step 4: Simplify right side
    15,906.60x = 156,426,098.40
  5. Step 5: Solve for x
    x = 156,426,098.40/15,906.60
  6. Step 6: Final answer
    x = 9,834.04

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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.