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Finding the Fourth Proportional to 13,101.68, 19,627.32 and 8,173.28

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Solution

The fourth proportional to 13,101.68, 19,627.32 and 8,173.28 is: 12,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.68 : 19,627.32 = 8,173.28 : x
  2. Step 2: Convert to fraction form
    13,101.68/19,627.32 = 8,173.28/x
  3. Step 3: Cross multiply
    13,101.68x = 19,627.32 × 8,173.28
  4. Step 4: Simplify right side
    13,101.68x = 160,419,582.01
  5. Step 5: Solve for x
    x = 160,419,582.01/13,101.68
  6. Step 6: Final answer
    x = 12,244.20

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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.