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Finding the Fourth Proportional to 13,989.60, 20,984.40 and 7,832.80

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Solution

The fourth proportional to 13,989.60, 20,984.40 and 7,832.80 is: 11,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.60 : 20,984.40 = 7,832.80 : x
  2. Step 2: Convert to fraction form
    13,989.60/20,984.40 = 7,832.80/x
  3. Step 3: Cross multiply
    13,989.60x = 20,984.40 × 7,832.80
  4. Step 4: Simplify right side
    13,989.60x = 164,366,608.32
  5. Step 5: Solve for x
    x = 164,366,608.32/13,989.60
  6. Step 6: Final answer
    x = 11,749.20

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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.