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Finding the Fourth Proportional to 21,169.54, 31,754.31 and 14,593.96

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Solution

The fourth proportional to 21,169.54, 31,754.31 and 14,593.96 is: 21,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.54 : 31,754.31 = 14,593.96 : x
  2. Step 2: Convert to fraction form
    21,169.54/31,754.31 = 14,593.96/x
  3. Step 3: Cross multiply
    21,169.54x = 31,754.31 × 14,593.96
  4. Step 4: Simplify right side
    21,169.54x = 463,421,129.97
  5. Step 5: Solve for x
    x = 463,421,129.97/21,169.54
  6. Step 6: Final answer
    x = 21,890.94

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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.