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Finding the Fourth Proportional to 12,285.12, 16,953.84 and 6,979.44

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Solution

The fourth proportional to 12,285.12, 16,953.84 and 6,979.44 is: 9,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.12 : 16,953.84 = 6,979.44 : x
  2. Step 2: Convert to fraction form
    12,285.12/16,953.84 = 6,979.44/x
  3. Step 3: Cross multiply
    12,285.12x = 16,953.84 × 6,979.44
  4. Step 4: Simplify right side
    12,285.12x = 118,328,309.05
  5. Step 5: Solve for x
    x = 118,328,309.05/12,285.12
  6. Step 6: Final answer
    x = 9,631.84

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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.