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Finding the Fourth Proportional to 14,386, 21,579 and 3,997.84

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Solution

The fourth proportional to 14,386, 21,579 and 3,997.84 is: 5,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386 : 21,579 = 3,997.84 : x
  2. Step 2: Convert to fraction form
    14,386/21,579 = 3,997.84/x
  3. Step 3: Cross multiply
    14,386x = 21,579 × 3,997.84
  4. Step 4: Simplify right side
    14,386x = 86,269,389.36
  5. Step 5: Solve for x
    x = 86,269,389.36/14,386
  6. Step 6: Final answer
    x = 5,996.76

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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.