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Finding the Fourth Proportional to 13,783.50, 19,021.23 and 8,193.42

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Solution

The fourth proportional to 13,783.50, 19,021.23 and 8,193.42 is: 11,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 19,021.23 = 8,193.42 : x
  2. Step 2: Convert to fraction form
    13,783.50/19,021.23 = 8,193.42/x
  3. Step 3: Cross multiply
    13,783.50x = 19,021.23 × 8,193.42
  4. Step 4: Simplify right side
    13,783.50x = 155,848,926.31
  5. Step 5: Solve for x
    x = 155,848,926.31/13,783.50
  6. Step 6: Final answer
    x = 11,306.92

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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.