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Finding the Fourth Proportional to 20,534.54, 30,806.40 and 6,495.38

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Solution

The fourth proportional to 20,534.54, 30,806.40 and 6,495.38 is: 9,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.54 : 30,806.40 = 6,495.38 : x
  2. Step 2: Convert to fraction form
    20,534.54/30,806.40 = 6,495.38/x
  3. Step 3: Cross multiply
    20,534.54x = 30,806.40 × 6,495.38
  4. Step 4: Simplify right side
    20,534.54x = 200,099,274.43
  5. Step 5: Solve for x
    x = 200,099,274.43/20,534.54
  6. Step 6: Final answer
    x = 9,744.52

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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.