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Finding the Fourth Proportional to 12,710.68, 19,069.62 and 6,871.48

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Solution

The fourth proportional to 12,710.68, 19,069.62 and 6,871.48 is: 10,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.68 : 19,069.62 = 6,871.48 : x
  2. Step 2: Convert to fraction form
    12,710.68/19,069.62 = 6,871.48/x
  3. Step 3: Cross multiply
    12,710.68x = 19,069.62 × 6,871.48
  4. Step 4: Simplify right side
    12,710.68x = 131,036,512.44
  5. Step 5: Solve for x
    x = 131,036,512.44/12,710.68
  6. Step 6: Final answer
    x = 10,309.17

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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.