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Finding the Fourth Proportional to 13,237.65, 19,858.10 and 5,843.97

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Solution

The fourth proportional to 13,237.65, 19,858.10 and 5,843.97 is: 8,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.65 : 19,858.10 = 5,843.97 : x
  2. Step 2: Convert to fraction form
    13,237.65/19,858.10 = 5,843.97/x
  3. Step 3: Cross multiply
    13,237.65x = 19,858.10 × 5,843.97
  4. Step 4: Simplify right side
    13,237.65x = 116,050,111.44
  5. Step 5: Solve for x
    x = 116,050,111.44/13,237.65
  6. Step 6: Final answer
    x = 8,766.67

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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.