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Finding the Fourth Proportional to 13,261.29, 19,890.87 and 7,711.09

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Solution

The fourth proportional to 13,261.29, 19,890.87 and 7,711.09 is: 11,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.29 : 19,890.87 = 7,711.09 : x
  2. Step 2: Convert to fraction form
    13,261.29/19,890.87 = 7,711.09/x
  3. Step 3: Cross multiply
    13,261.29x = 19,890.87 × 7,711.09
  4. Step 4: Simplify right side
    13,261.29x = 153,380,288.75
  5. Step 5: Solve for x
    x = 153,380,288.75/13,261.29
  6. Step 6: Final answer
    x = 11,566.02

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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.