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Finding the Fourth Proportional to 12,230.22, 16,878.08 and 6,924.90

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Solution

The fourth proportional to 12,230.22, 16,878.08 and 6,924.90 is: 9,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.22 : 16,878.08 = 6,924.90 : x
  2. Step 2: Convert to fraction form
    12,230.22/16,878.08 = 6,924.90/x
  3. Step 3: Cross multiply
    12,230.22x = 16,878.08 × 6,924.90
  4. Step 4: Simplify right side
    12,230.22x = 116,879,016.19
  5. Step 5: Solve for x
    x = 116,879,016.19/12,230.22
  6. Step 6: Final answer
    x = 9,556.58

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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.