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Finding the Fourth Proportional to 20,113.60, 30,169.32 and 5,323

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Solution

The fourth proportional to 20,113.60, 30,169.32 and 5,323 is: 7,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.60 : 30,169.32 = 5,323 : x
  2. Step 2: Convert to fraction form
    20,113.60/30,169.32 = 5,323/x
  3. Step 3: Cross multiply
    20,113.60x = 30,169.32 × 5,323
  4. Step 4: Simplify right side
    20,113.60x = 160,591,290.36
  5. Step 5: Solve for x
    x = 160,591,290.36/20,113.60
  6. Step 6: Final answer
    x = 7,984.21

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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.