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Finding the Fourth Proportional to 12,229.90, 16,877.64 and 6,924.60

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Solution

The fourth proportional to 12,229.90, 16,877.64 and 6,924.60 is: 9,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.90 : 16,877.64 = 6,924.60 : x
  2. Step 2: Convert to fraction form
    12,229.90/16,877.64 = 6,924.60/x
  3. Step 3: Cross multiply
    12,229.90x = 16,877.64 × 6,924.60
  4. Step 4: Simplify right side
    12,229.90x = 116,870,905.94
  5. Step 5: Solve for x
    x = 116,870,905.94/12,229.90
  6. Step 6: Final answer
    x = 9,556.16

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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.