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Finding the Fourth Proportional to 14,228.78, 21,343.56 and 3,840.50

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Solution

The fourth proportional to 14,228.78, 21,343.56 and 3,840.50 is: 5,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.78 : 21,343.56 = 3,840.50 : x
  2. Step 2: Convert to fraction form
    14,228.78/21,343.56 = 3,840.50/x
  3. Step 3: Cross multiply
    14,228.78x = 21,343.56 × 3,840.50
  4. Step 4: Simplify right side
    14,228.78x = 81,969,942.18
  5. Step 5: Solve for x
    x = 81,969,942.18/14,228.78
  6. Step 6: Final answer
    x = 5,760.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.