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Finding the Fourth Proportional to 20,930.40, 31,385.16 and 6,696.90

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Solution

The fourth proportional to 20,930.40, 31,385.16 and 6,696.90 is: 10,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.40 : 31,385.16 = 6,696.90 : x
  2. Step 2: Convert to fraction form
    20,930.40/31,385.16 = 6,696.90/x
  3. Step 3: Cross multiply
    20,930.40x = 31,385.16 × 6,696.90
  4. Step 4: Simplify right side
    20,930.40x = 210,183,278.00
  5. Step 5: Solve for x
    x = 210,183,278.00/20,930.40
  6. Step 6: Final answer
    x = 10,042.01

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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.