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Finding the Fourth Proportional to 12,871.50, 19,290.93 and 5,467.26

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Solution

The fourth proportional to 12,871.50, 19,290.93 and 5,467.26 is: 8,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.50 : 19,290.93 = 5,467.26 : x
  2. Step 2: Convert to fraction form
    12,871.50/19,290.93 = 5,467.26/x
  3. Step 3: Cross multiply
    12,871.50x = 19,290.93 × 5,467.26
  4. Step 4: Simplify right side
    12,871.50x = 105,468,529.95
  5. Step 5: Solve for x
    x = 105,468,529.95/12,871.50
  6. Step 6: Final answer
    x = 8,193.96

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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.