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Finding the Fourth Proportional to 14,593.44, 21,896.16 and 5,234.64

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Solution

The fourth proportional to 14,593.44, 21,896.16 and 5,234.64 is: 7,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.44 : 21,896.16 = 5,234.64 : x
  2. Step 2: Convert to fraction form
    14,593.44/21,896.16 = 5,234.64/x
  3. Step 3: Cross multiply
    14,593.44x = 21,896.16 × 5,234.64
  4. Step 4: Simplify right side
    14,593.44x = 114,618,514.98
  5. Step 5: Solve for x
    x = 114,618,514.98/14,593.44
  6. Step 6: Final answer
    x = 7,854.11

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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.