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Finding the Fourth Proportional to 11,722.21, 17,583.22 and 9,963.04

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Solution

The fourth proportional to 11,722.21, 17,583.22 and 9,963.04 is: 14,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.21 : 17,583.22 = 9,963.04 : x
  2. Step 2: Convert to fraction form
    11,722.21/17,583.22 = 9,963.04/x
  3. Step 3: Cross multiply
    11,722.21x = 17,583.22 × 9,963.04
  4. Step 4: Simplify right side
    11,722.21x = 175,182,325.45
  5. Step 5: Solve for x
    x = 175,182,325.45/11,722.21
  6. Step 6: Final answer
    x = 14,944.48

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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.