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Finding the Fourth Proportional to 12,228.30, 16,873.74 and 6,922.06

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Solution

The fourth proportional to 12,228.30, 16,873.74 and 6,922.06 is: 9,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.30 : 16,873.74 = 6,922.06 : x
  2. Step 2: Convert to fraction form
    12,228.30/16,873.74 = 6,922.06/x
  3. Step 3: Cross multiply
    12,228.30x = 16,873.74 × 6,922.06
  4. Step 4: Simplify right side
    12,228.30x = 116,801,040.70
  5. Step 5: Solve for x
    x = 116,801,040.70/12,228.30
  6. Step 6: Final answer
    x = 9,551.70

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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.