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Finding the Fourth Proportional to 20,696.81, 31,026.50 and 7,546.11

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Solution

The fourth proportional to 20,696.81, 31,026.50 and 7,546.11 is: 11,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.81 : 31,026.50 = 7,546.11 : x
  2. Step 2: Convert to fraction form
    20,696.81/31,026.50 = 7,546.11/x
  3. Step 3: Cross multiply
    20,696.81x = 31,026.50 × 7,546.11
  4. Step 4: Simplify right side
    20,696.81x = 234,129,189.05
  5. Step 5: Solve for x
    x = 234,129,189.05/20,696.81
  6. Step 6: Final answer
    x = 11,312.33

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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.