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Finding the Fourth Proportional to 14,241.84, 21,363.84 and 3,853.44

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Solution

The fourth proportional to 14,241.84, 21,363.84 and 3,853.44 is: 5,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.84 : 21,363.84 = 3,853.44 : x
  2. Step 2: Convert to fraction form
    14,241.84/21,363.84 = 3,853.44/x
  3. Step 3: Cross multiply
    14,241.84x = 21,363.84 × 3,853.44
  4. Step 4: Simplify right side
    14,241.84x = 82,324,275.61
  5. Step 5: Solve for x
    x = 82,324,275.61/14,241.84
  6. Step 6: Final answer
    x = 5,780.45

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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.