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Finding the Fourth Proportional to 20,580.02, 30,866.81 and 6,538.20

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Solution

The fourth proportional to 20,580.02, 30,866.81 and 6,538.20 is: 9,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.02 : 30,866.81 = 6,538.20 : x
  2. Step 2: Convert to fraction form
    20,580.02/30,866.81 = 6,538.20/x
  3. Step 3: Cross multiply
    20,580.02x = 30,866.81 × 6,538.20
  4. Step 4: Simplify right side
    20,580.02x = 201,813,377.14
  5. Step 5: Solve for x
    x = 201,813,377.14/20,580.02
  6. Step 6: Final answer
    x = 9,806.28

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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.