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Finding the Fourth Proportional to 12,991.93, 19,486.27 and 5,200.81

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Solution

The fourth proportional to 12,991.93, 19,486.27 and 5,200.81 is: 7,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.93 : 19,486.27 = 5,200.81 : x
  2. Step 2: Convert to fraction form
    12,991.93/19,486.27 = 5,200.81/x
  3. Step 3: Cross multiply
    12,991.93x = 19,486.27 × 5,200.81
  4. Step 4: Simplify right side
    12,991.93x = 101,344,387.88
  5. Step 5: Solve for x
    x = 101,344,387.88/12,991.93
  6. Step 6: Final answer
    x = 7,800.56

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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.