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Finding the Fourth Proportional to 12,203.18, 16,840.95 and 6,898.22

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Solution

The fourth proportional to 12,203.18, 16,840.95 and 6,898.22 is: 9,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.18 : 16,840.95 = 6,898.22 : x
  2. Step 2: Convert to fraction form
    12,203.18/16,840.95 = 6,898.22/x
  3. Step 3: Cross multiply
    12,203.18x = 16,840.95 × 6,898.22
  4. Step 4: Simplify right side
    12,203.18x = 116,172,578.11
  5. Step 5: Solve for x
    x = 116,172,578.11/12,203.18
  6. Step 6: Final answer
    x = 9,519.86

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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.