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Finding the Fourth Proportional to 13,111.56, 19,667.34 and 3,877.56

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Solution

The fourth proportional to 13,111.56, 19,667.34 and 3,877.56 is: 5,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.56 : 19,667.34 = 3,877.56 : x
  2. Step 2: Convert to fraction form
    13,111.56/19,667.34 = 3,877.56/x
  3. Step 3: Cross multiply
    13,111.56x = 19,667.34 × 3,877.56
  4. Step 4: Simplify right side
    13,111.56x = 76,261,290.89
  5. Step 5: Solve for x
    x = 76,261,290.89/13,111.56
  6. Step 6: Final answer
    x = 5,816.34

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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.