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Finding the Fourth Proportional to 20,696.14, 31,044.21 and 5,113.77

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Solution

The fourth proportional to 20,696.14, 31,044.21 and 5,113.77 is: 7,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.14 : 31,044.21 = 5,113.77 : x
  2. Step 2: Convert to fraction form
    20,696.14/31,044.21 = 5,113.77/x
  3. Step 3: Cross multiply
    20,696.14x = 31,044.21 × 5,113.77
  4. Step 4: Simplify right side
    20,696.14x = 158,752,949.77
  5. Step 5: Solve for x
    x = 158,752,949.77/20,696.14
  6. Step 6: Final answer
    x = 7,670.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.