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Finding the Fourth Proportional to 13,235.70, 19,847.57 and 9,522.36

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Solution

The fourth proportional to 13,235.70, 19,847.57 and 9,522.36 is: 14,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.70 : 19,847.57 = 9,522.36 : x
  2. Step 2: Convert to fraction form
    13,235.70/19,847.57 = 9,522.36/x
  3. Step 3: Cross multiply
    13,235.70x = 19,847.57 × 9,522.36
  4. Step 4: Simplify right side
    13,235.70x = 188,995,659.05
  5. Step 5: Solve for x
    x = 188,995,659.05/13,235.70
  6. Step 6: Final answer
    x = 14,279.23

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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.