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Finding the Fourth Proportional to 14,642.98, 21,954.03 and 6,847.54

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Solution

The fourth proportional to 14,642.98, 21,954.03 and 6,847.54 is: 10,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.98 : 21,954.03 = 6,847.54 : x
  2. Step 2: Convert to fraction form
    14,642.98/21,954.03 = 6,847.54/x
  3. Step 3: Cross multiply
    14,642.98x = 21,954.03 × 6,847.54
  4. Step 4: Simplify right side
    14,642.98x = 150,331,098.59
  5. Step 5: Solve for x
    x = 150,331,098.59/14,642.98
  6. Step 6: Final answer
    x = 10,266.43

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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.