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Finding the Fourth Proportional to 12,709.14, 19,056.02 and 5,687.85

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Solution

The fourth proportional to 12,709.14, 19,056.02 and 5,687.85 is: 8,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.14 : 19,056.02 = 5,687.85 : x
  2. Step 2: Convert to fraction form
    12,709.14/19,056.02 = 5,687.85/x
  3. Step 3: Cross multiply
    12,709.14x = 19,056.02 × 5,687.85
  4. Step 4: Simplify right side
    12,709.14x = 108,387,783.36
  5. Step 5: Solve for x
    x = 108,387,783.36/12,709.14
  6. Step 6: Final answer
    x = 8,528.33

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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.