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Finding the Fourth Proportional to 13,875.50, 19,157.44 and 8,212.06

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Solution

The fourth proportional to 13,875.50, 19,157.44 and 8,212.06 is: 11,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.50 : 19,157.44 = 8,212.06 : x
  2. Step 2: Convert to fraction form
    13,875.50/19,157.44 = 8,212.06/x
  3. Step 3: Cross multiply
    13,875.50x = 19,157.44 × 8,212.06
  4. Step 4: Simplify right side
    13,875.50x = 157,322,046.73
  5. Step 5: Solve for x
    x = 157,322,046.73/13,875.50
  6. Step 6: Final answer
    x = 11,338.12

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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.