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Finding the Fourth Proportional to 12,233.90, 16,883.16 and 6,928.60

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Solution

The fourth proportional to 12,233.90, 16,883.16 and 6,928.60 is: 9,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.90 : 16,883.16 = 6,928.60 : x
  2. Step 2: Convert to fraction form
    12,233.90/16,883.16 = 6,928.60/x
  3. Step 3: Cross multiply
    12,233.90x = 16,883.16 × 6,928.60
  4. Step 4: Simplify right side
    12,233.90x = 116,976,662.38
  5. Step 5: Solve for x
    x = 116,976,662.38/12,233.90
  6. Step 6: Final answer
    x = 9,561.68

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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.