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Finding the Fourth Proportional to 12,261.44, 16,924.26 and 7,228.58

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Solution

The fourth proportional to 12,261.44, 16,924.26 and 7,228.58 is: 9,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.44 : 16,924.26 = 7,228.58 : x
  2. Step 2: Convert to fraction form
    12,261.44/16,924.26 = 7,228.58/x
  3. Step 3: Cross multiply
    12,261.44x = 16,924.26 × 7,228.58
  4. Step 4: Simplify right side
    12,261.44x = 122,338,367.35
  5. Step 5: Solve for x
    x = 122,338,367.35/12,261.44
  6. Step 6: Final answer
    x = 9,977.49

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