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Finding the Fourth Proportional to 14,493.84, 21,744.36 and 4,105.68

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Solution

The fourth proportional to 14,493.84, 21,744.36 and 4,105.68 is: 6,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.84 : 21,744.36 = 4,105.68 : x
  2. Step 2: Convert to fraction form
    14,493.84/21,744.36 = 4,105.68/x
  3. Step 3: Cross multiply
    14,493.84x = 21,744.36 × 4,105.68
  4. Step 4: Simplify right side
    14,493.84x = 89,275,383.96
  5. Step 5: Solve for x
    x = 89,275,383.96/14,493.84
  6. Step 6: Final answer
    x = 6,159.54

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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.