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Finding the Fourth Proportional to 14,211.84, 21,318.96 and 3,824.16

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Solution

The fourth proportional to 14,211.84, 21,318.96 and 3,824.16 is: 5,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.84 : 21,318.96 = 3,824.16 : x
  2. Step 2: Convert to fraction form
    14,211.84/21,318.96 = 3,824.16/x
  3. Step 3: Cross multiply
    14,211.84x = 21,318.96 × 3,824.16
  4. Step 4: Simplify right side
    14,211.84x = 81,527,114.07
  5. Step 5: Solve for x
    x = 81,527,114.07/14,211.84
  6. Step 6: Final answer
    x = 5,736.56

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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.