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Finding the Fourth Proportional to 12,229.32, 16,876.14 and 6,923.64

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Solution

The fourth proportional to 12,229.32, 16,876.14 and 6,923.64 is: 9,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.32 : 16,876.14 = 6,923.64 : x
  2. Step 2: Convert to fraction form
    12,229.32/16,876.14 = 6,923.64/x
  3. Step 3: Cross multiply
    12,229.32x = 16,876.14 × 6,923.64
  4. Step 4: Simplify right side
    12,229.32x = 116,844,317.95
  5. Step 5: Solve for x
    x = 116,844,317.95/12,229.32
  6. Step 6: Final answer
    x = 9,554.44

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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.