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Finding the Fourth Proportional to 13,016.85, 19,533.04 and 11,958.11

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Solution

The fourth proportional to 13,016.85, 19,533.04 and 11,958.11 is: 17,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.85 : 19,533.04 = 11,958.11 : x
  2. Step 2: Convert to fraction form
    13,016.85/19,533.04 = 11,958.11/x
  3. Step 3: Cross multiply
    13,016.85x = 19,533.04 × 11,958.11
  4. Step 4: Simplify right side
    13,016.85x = 233,578,240.95
  5. Step 5: Solve for x
    x = 233,578,240.95/13,016.85
  6. Step 6: Final answer
    x = 17,944.30

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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.