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Finding the Fourth Proportional to 12,206.16, 16,844.22 and 6,900.66

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Solution

The fourth proportional to 12,206.16, 16,844.22 and 6,900.66 is: 9,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.16 : 16,844.22 = 6,900.66 : x
  2. Step 2: Convert to fraction form
    12,206.16/16,844.22 = 6,900.66/x
  3. Step 3: Cross multiply
    12,206.16x = 16,844.22 × 6,900.66
  4. Step 4: Simplify right side
    12,206.16x = 116,236,235.19
  5. Step 5: Solve for x
    x = 116,236,235.19/12,206.16
  6. Step 6: Final answer
    x = 9,522.75

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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.