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Finding the Fourth Proportional to 14,212.64, 21,315.72 and 3,825.20

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Solution

The fourth proportional to 14,212.64, 21,315.72 and 3,825.20 is: 5,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.64 : 21,315.72 = 3,825.20 : x
  2. Step 2: Convert to fraction form
    14,212.64/21,315.72 = 3,825.20/x
  3. Step 3: Cross multiply
    14,212.64x = 21,315.72 × 3,825.20
  4. Step 4: Simplify right side
    14,212.64x = 81,536,892.14
  5. Step 5: Solve for x
    x = 81,536,892.14/14,212.64
  6. Step 6: Final answer
    x = 5,736.93

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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.