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Finding the Fourth Proportional to 22,077.36, 30,464.64 and 12,644.64

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Solution

The fourth proportional to 22,077.36, 30,464.64 and 12,644.64 is: 17,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.36 : 30,464.64 = 12,644.64 : x
  2. Step 2: Convert to fraction form
    22,077.36/30,464.64 = 12,644.64/x
  3. Step 3: Cross multiply
    22,077.36x = 30,464.64 × 12,644.64
  4. Step 4: Simplify right side
    22,077.36x = 385,214,405.53
  5. Step 5: Solve for x
    x = 385,214,405.53/22,077.36
  6. Step 6: Final answer
    x = 17,448.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.