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Finding the Fourth Proportional to 12,832.36, 19,254.92 and 7,206.54

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Solution

The fourth proportional to 12,832.36, 19,254.92 and 7,206.54 is: 10,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.36 : 19,254.92 = 7,206.54 : x
  2. Step 2: Convert to fraction form
    12,832.36/19,254.92 = 7,206.54/x
  3. Step 3: Cross multiply
    12,832.36x = 19,254.92 × 7,206.54
  4. Step 4: Simplify right side
    12,832.36x = 138,761,351.18
  5. Step 5: Solve for x
    x = 138,761,351.18/12,832.36
  6. Step 6: Final answer
    x = 10,813.39

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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.