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Finding the Fourth Proportional to 14,560.62, 21,847.44 and 7,633.50

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Solution

The fourth proportional to 14,560.62, 21,847.44 and 7,633.50 is: 11,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.62 : 21,847.44 = 7,633.50 : x
  2. Step 2: Convert to fraction form
    14,560.62/21,847.44 = 7,633.50/x
  3. Step 3: Cross multiply
    14,560.62x = 21,847.44 × 7,633.50
  4. Step 4: Simplify right side
    14,560.62x = 166,772,433.24
  5. Step 5: Solve for x
    x = 166,772,433.24/14,560.62
  6. Step 6: Final answer
    x = 11,453.66

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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.