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Finding the Fourth Proportional to 12,326.94, 16,999.74 and 7,846.02

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Solution

The fourth proportional to 12,326.94, 16,999.74 and 7,846.02 is: 10,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.94 : 16,999.74 = 7,846.02 : x
  2. Step 2: Convert to fraction form
    12,326.94/16,999.74 = 7,846.02/x
  3. Step 3: Cross multiply
    12,326.94x = 16,999.74 × 7,846.02
  4. Step 4: Simplify right side
    12,326.94x = 133,380,300.03
  5. Step 5: Solve for x
    x = 133,380,300.03/12,326.94
  6. Step 6: Final answer
    x = 10,820.23

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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.