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Finding the Fourth Proportional to 12,753.36, 19,113.03 and 6,166.44

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Solution

The fourth proportional to 12,753.36, 19,113.03 and 6,166.44 is: 9,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.36 : 19,113.03 = 6,166.44 : x
  2. Step 2: Convert to fraction form
    12,753.36/19,113.03 = 6,166.44/x
  3. Step 3: Cross multiply
    12,753.36x = 19,113.03 × 6,166.44
  4. Step 4: Simplify right side
    12,753.36x = 117,859,352.71
  5. Step 5: Solve for x
    x = 117,859,352.71/12,753.36
  6. Step 6: Final answer
    x = 9,241.44

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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.