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Finding the Fourth Proportional to 12,871.26, 19,289.34 and 7,251.60

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Solution

The fourth proportional to 12,871.26, 19,289.34 and 7,251.60 is: 10,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.26 : 19,289.34 = 7,251.60 : x
  2. Step 2: Convert to fraction form
    12,871.26/19,289.34 = 7,251.60/x
  3. Step 3: Cross multiply
    12,871.26x = 19,289.34 × 7,251.60
  4. Step 4: Simplify right side
    12,871.26x = 139,878,577.94
  5. Step 5: Solve for x
    x = 139,878,577.94/12,871.26
  6. Step 6: Final answer
    x = 10,867.51

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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.