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Finding the Fourth Proportional to 16,783.14, 25,158.99 and 5,682.06

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Solution

The fourth proportional to 16,783.14, 25,158.99 and 5,682.06 is: 8,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.14 : 25,158.99 = 5,682.06 : x
  2. Step 2: Convert to fraction form
    16,783.14/25,158.99 = 5,682.06/x
  3. Step 3: Cross multiply
    16,783.14x = 25,158.99 × 5,682.06
  4. Step 4: Simplify right side
    16,783.14x = 142,954,890.72
  5. Step 5: Solve for x
    x = 142,954,890.72/16,783.14
  6. Step 6: Final answer
    x = 8,517.77

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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.