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Finding the Fourth Proportional to 14,331.44, 21,497.68 and 3,944

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Solution

The fourth proportional to 14,331.44, 21,497.68 and 3,944 is: 5,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.44 : 21,497.68 = 3,944 : x
  2. Step 2: Convert to fraction form
    14,331.44/21,497.68 = 3,944/x
  3. Step 3: Cross multiply
    14,331.44x = 21,497.68 × 3,944
  4. Step 4: Simplify right side
    14,331.44x = 84,786,849.92
  5. Step 5: Solve for x
    x = 84,786,849.92/14,331.44
  6. Step 6: Final answer
    x = 5,916.14

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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.