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Finding the Fourth Proportional to 12,682.48, 19,010.06 and 5,284.96

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Solution

The fourth proportional to 12,682.48, 19,010.06 and 5,284.96 is: 7,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.48 : 19,010.06 = 5,284.96 : x
  2. Step 2: Convert to fraction form
    12,682.48/19,010.06 = 5,284.96/x
  3. Step 3: Cross multiply
    12,682.48x = 19,010.06 × 5,284.96
  4. Step 4: Simplify right side
    12,682.48x = 100,467,406.70
  5. Step 5: Solve for x
    x = 100,467,406.70/12,682.48
  6. Step 6: Final answer
    x = 7,921.75

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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.