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Finding the Fourth Proportional to 12,816.15, 19,241.93 and 8,857.65

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Solution

The fourth proportional to 12,816.15, 19,241.93 and 8,857.65 is: 13,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.15 : 19,241.93 = 8,857.65 : x
  2. Step 2: Convert to fraction form
    12,816.15/19,241.93 = 8,857.65/x
  3. Step 3: Cross multiply
    12,816.15x = 19,241.93 × 8,857.65
  4. Step 4: Simplify right side
    12,816.15x = 170,438,236.98
  5. Step 5: Solve for x
    x = 170,438,236.98/12,816.15
  6. Step 6: Final answer
    x = 13,298.71

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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.