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Finding the Fourth Proportional to 20,537.24, 30,806.14 and 7,389.96

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Solution

The fourth proportional to 20,537.24, 30,806.14 and 7,389.96 is: 11,085.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.24 : 30,806.14 = 7,389.96 : x
  2. Step 2: Convert to fraction form
    20,537.24/30,806.14 = 7,389.96/x
  3. Step 3: Cross multiply
    20,537.24x = 30,806.14 × 7,389.96
  4. Step 4: Simplify right side
    20,537.24x = 227,656,142.35
  5. Step 5: Solve for x
    x = 227,656,142.35/20,537.24
  6. Step 6: Final answer
    x = 11,085.04

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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.