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Finding the Fourth Proportional to 20,696.60, 31,046.10 and 5,906.60

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Solution

The fourth proportional to 20,696.60, 31,046.10 and 5,906.60 is: 8,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.60 : 31,046.10 = 5,906.60 : x
  2. Step 2: Convert to fraction form
    20,696.60/31,046.10 = 5,906.60/x
  3. Step 3: Cross multiply
    20,696.60x = 31,046.10 × 5,906.60
  4. Step 4: Simplify right side
    20,696.60x = 183,376,894.26
  5. Step 5: Solve for x
    x = 183,376,894.26/20,696.60
  6. Step 6: Final answer
    x = 8,860.24

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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.