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Finding the Fourth Proportional to 20,469.48, 30,696.66 and 16,095.48

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Solution

The fourth proportional to 20,469.48, 30,696.66 and 16,095.48 is: 24,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.48 : 30,696.66 = 16,095.48 : x
  2. Step 2: Convert to fraction form
    20,469.48/30,696.66 = 16,095.48/x
  3. Step 3: Cross multiply
    20,469.48x = 30,696.66 × 16,095.48
  4. Step 4: Simplify right side
    20,469.48x = 494,077,477.10
  5. Step 5: Solve for x
    x = 494,077,477.10/20,469.48
  6. Step 6: Final answer
    x = 24,137.28

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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.