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Finding the Fourth Proportional to 14,231.70, 19,647.36 and 9,523.98

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Solution

The fourth proportional to 14,231.70, 19,647.36 and 9,523.98 is: 13,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.70 : 19,647.36 = 9,523.98 : x
  2. Step 2: Convert to fraction form
    14,231.70/19,647.36 = 9,523.98/x
  3. Step 3: Cross multiply
    14,231.70x = 19,647.36 × 9,523.98
  4. Step 4: Simplify right side
    14,231.70x = 187,121,063.69
  5. Step 5: Solve for x
    x = 187,121,063.69/14,231.70
  6. Step 6: Final answer
    x = 13,148.19

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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.