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Finding the Fourth Proportional to 12,203.37, 16,840.59 and 6,898.20

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Solution

The fourth proportional to 12,203.37, 16,840.59 and 6,898.20 is: 9,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.37 : 16,840.59 = 6,898.20 : x
  2. Step 2: Convert to fraction form
    12,203.37/16,840.59 = 6,898.20/x
  3. Step 3: Cross multiply
    12,203.37x = 16,840.59 × 6,898.20
  4. Step 4: Simplify right side
    12,203.37x = 116,169,757.94
  5. Step 5: Solve for x
    x = 116,169,757.94/12,203.37
  6. Step 6: Final answer
    x = 9,519.48

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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.