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Finding the Fourth Proportional to 12,782.44, 19,175.80 and 7,246.60

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Solution

The fourth proportional to 12,782.44, 19,175.80 and 7,246.60 is: 10,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.44 : 19,175.80 = 7,246.60 : x
  2. Step 2: Convert to fraction form
    12,782.44/19,175.80 = 7,246.60/x
  3. Step 3: Cross multiply
    12,782.44x = 19,175.80 × 7,246.60
  4. Step 4: Simplify right side
    12,782.44x = 138,959,352.28
  5. Step 5: Solve for x
    x = 138,959,352.28/12,782.44
  6. Step 6: Final answer
    x = 10,871.11

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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.