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Finding the Fourth Proportional to 13,022.40, 19,495.20 and 11,486.40

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Solution

The fourth proportional to 13,022.40, 19,495.20 and 11,486.40 is: 17,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.40 : 19,495.20 = 11,486.40 : x
  2. Step 2: Convert to fraction form
    13,022.40/19,495.20 = 11,486.40/x
  3. Step 3: Cross multiply
    13,022.40x = 19,495.20 × 11,486.40
  4. Step 4: Simplify right side
    13,022.40x = 223,929,665.28
  5. Step 5: Solve for x
    x = 223,929,665.28/13,022.40
  6. Step 6: Final answer
    x = 17,195.73

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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.