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Finding the Fourth Proportional to 13,142.90, 19,696.26 and 5,753.54

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Solution

The fourth proportional to 13,142.90, 19,696.26 and 5,753.54 is: 8,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.90 : 19,696.26 = 5,753.54 : x
  2. Step 2: Convert to fraction form
    13,142.90/19,696.26 = 5,753.54/x
  3. Step 3: Cross multiply
    13,142.90x = 19,696.26 × 5,753.54
  4. Step 4: Simplify right side
    13,142.90x = 113,323,219.76
  5. Step 5: Solve for x
    x = 113,323,219.76/13,142.90
  6. Step 6: Final answer
    x = 8,622.39

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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.