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Finding the Fourth Proportional to 12,106.40, 16,705.02 and 6,800.20

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Solution

The fourth proportional to 12,106.40, 16,705.02 and 6,800.20 is: 9,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.40 : 16,705.02 = 6,800.20 : x
  2. Step 2: Convert to fraction form
    12,106.40/16,705.02 = 6,800.20/x
  3. Step 3: Cross multiply
    12,106.40x = 16,705.02 × 6,800.20
  4. Step 4: Simplify right side
    12,106.40x = 113,597,435.24
  5. Step 5: Solve for x
    x = 113,597,435.24/12,106.40
  6. Step 6: Final answer
    x = 9,383.25

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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.