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Finding the Fourth Proportional to 13,783.50, 19,014.57 and 8,469.09

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Solution

The fourth proportional to 13,783.50, 19,014.57 and 8,469.09 is: 11,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 19,014.57 = 8,469.09 : x
  2. Step 2: Convert to fraction form
    13,783.50/19,014.57 = 8,469.09/x
  3. Step 3: Cross multiply
    13,783.50x = 19,014.57 × 8,469.09
  4. Step 4: Simplify right side
    13,783.50x = 161,036,104.64
  5. Step 5: Solve for x
    x = 161,036,104.64/13,783.50
  6. Step 6: Final answer
    x = 11,683.25

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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.