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Finding the Fourth Proportional to 12,203.09, 16,840.15 and 6,825.46

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Solution

The fourth proportional to 12,203.09, 16,840.15 and 6,825.46 is: 9,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.09 : 16,840.15 = 6,825.46 : x
  2. Step 2: Convert to fraction form
    12,203.09/16,840.15 = 6,825.46/x
  3. Step 3: Cross multiply
    12,203.09x = 16,840.15 × 6,825.46
  4. Step 4: Simplify right side
    12,203.09x = 114,941,799.80
  5. Step 5: Solve for x
    x = 114,941,799.80/12,203.09
  6. Step 6: Final answer
    x = 9,419.07

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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.