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Finding the Fourth Proportional to 15,898.92, 23,822.46 and 8,097

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Solution

The fourth proportional to 15,898.92, 23,822.46 and 8,097 is: 12,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.92 : 23,822.46 = 8,097 : x
  2. Step 2: Convert to fraction form
    15,898.92/23,822.46 = 8,097/x
  3. Step 3: Cross multiply
    15,898.92x = 23,822.46 × 8,097
  4. Step 4: Simplify right side
    15,898.92x = 192,890,458.62
  5. Step 5: Solve for x
    x = 192,890,458.62/15,898.92
  6. Step 6: Final answer
    x = 12,132.30

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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.