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Finding the Fourth Proportional to 19,829.80, 27,362.82 and 11,870.92

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Solution

The fourth proportional to 19,829.80, 27,362.82 and 11,870.92 is: 16,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.80 : 27,362.82 = 11,870.92 : x
  2. Step 2: Convert to fraction form
    19,829.80/27,362.82 = 11,870.92/x
  3. Step 3: Cross multiply
    19,829.80x = 27,362.82 × 11,870.92
  4. Step 4: Simplify right side
    19,829.80x = 324,821,847.19
  5. Step 5: Solve for x
    x = 324,821,847.19/19,829.80
  6. Step 6: Final answer
    x = 16,380.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.