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Finding the Fourth Proportional to 13,021.16, 19,524.21 and 11,464.28

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Solution

The fourth proportional to 13,021.16, 19,524.21 and 11,464.28 is: 17,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.16 : 19,524.21 = 11,464.28 : x
  2. Step 2: Convert to fraction form
    13,021.16/19,524.21 = 11,464.28/x
  3. Step 3: Cross multiply
    13,021.16x = 19,524.21 × 11,464.28
  4. Step 4: Simplify right side
    13,021.16x = 223,831,059.03
  5. Step 5: Solve for x
    x = 223,831,059.03/13,021.16
  6. Step 6: Final answer
    x = 17,189.80

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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.