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Finding the Fourth Proportional to 14,231.84, 21,348.34 and 5,346.28

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Solution

The fourth proportional to 14,231.84, 21,348.34 and 5,346.28 is: 8,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.84 : 21,348.34 = 5,346.28 : x
  2. Step 2: Convert to fraction form
    14,231.84/21,348.34 = 5,346.28/x
  3. Step 3: Cross multiply
    14,231.84x = 21,348.34 × 5,346.28
  4. Step 4: Simplify right side
    14,231.84x = 114,134,136.44
  5. Step 5: Solve for x
    x = 114,134,136.44/14,231.84
  6. Step 6: Final answer
    x = 8,019.63

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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.