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Finding the Fourth Proportional to 14,185.75, 19,576.47 and 7,898.26

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Solution

The fourth proportional to 14,185.75, 19,576.47 and 7,898.26 is: 10,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.75 : 19,576.47 = 7,898.26 : x
  2. Step 2: Convert to fraction form
    14,185.75/19,576.47 = 7,898.26/x
  3. Step 3: Cross multiply
    14,185.75x = 19,576.47 × 7,898.26
  4. Step 4: Simplify right side
    14,185.75x = 154,620,049.94
  5. Step 5: Solve for x
    x = 154,620,049.94/14,185.75
  6. Step 6: Final answer
    x = 10,899.67

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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.