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Finding the Fourth Proportional to 13,982.75, 20,978.18 and 4,748.75

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Solution

The fourth proportional to 13,982.75, 20,978.18 and 4,748.75 is: 7,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.75 : 20,978.18 = 4,748.75 : x
  2. Step 2: Convert to fraction form
    13,982.75/20,978.18 = 4,748.75/x
  3. Step 3: Cross multiply
    13,982.75x = 20,978.18 × 4,748.75
  4. Step 4: Simplify right side
    13,982.75x = 99,620,132.28
  5. Step 5: Solve for x
    x = 99,620,132.28/13,982.75
  6. Step 6: Final answer
    x = 7,124.50

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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.