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Finding the Fourth Proportional to 12,184.63, 16,815.33 and 6,879.49

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Solution

The fourth proportional to 12,184.63, 16,815.33 and 6,879.49 is: 9,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.63 : 16,815.33 = 6,879.49 : x
  2. Step 2: Convert to fraction form
    12,184.63/16,815.33 = 6,879.49/x
  3. Step 3: Cross multiply
    12,184.63x = 16,815.33 × 6,879.49
  4. Step 4: Simplify right side
    12,184.63x = 115,680,894.58
  5. Step 5: Solve for x
    x = 115,680,894.58/12,184.63
  6. Step 6: Final answer
    x = 9,494.00

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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.