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Finding the Fourth Proportional to 13,982.75, 20,977.01 and 5,774.75

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Solution

The fourth proportional to 13,982.75, 20,977.01 and 5,774.75 is: 8,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.75 : 20,977.01 = 5,774.75 : x
  2. Step 2: Convert to fraction form
    13,982.75/20,977.01 = 5,774.75/x
  3. Step 3: Cross multiply
    13,982.75x = 20,977.01 × 5,774.75
  4. Step 4: Simplify right side
    13,982.75x = 121,136,988.50
  5. Step 5: Solve for x
    x = 121,136,988.50/13,982.75
  6. Step 6: Final answer
    x = 8,663.32

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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.