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Finding the Fourth Proportional to 13,877.50, 19,150.59 and 8,212.54

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Solution

The fourth proportional to 13,877.50, 19,150.59 and 8,212.54 is: 11,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.50 : 19,150.59 = 8,212.54 : x
  2. Step 2: Convert to fraction form
    13,877.50/19,150.59 = 8,212.54/x
  3. Step 3: Cross multiply
    13,877.50x = 19,150.59 × 8,212.54
  4. Step 4: Simplify right side
    13,877.50x = 157,274,986.40
  5. Step 5: Solve for x
    x = 157,274,986.40/13,877.50
  6. Step 6: Final answer
    x = 11,333.09

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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.