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Finding the Fourth Proportional to 12,106.41, 16,705.95 and 6,800.20

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Solution

The fourth proportional to 12,106.41, 16,705.95 and 6,800.20 is: 9,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.41 : 16,705.95 = 6,800.20 : x
  2. Step 2: Convert to fraction form
    12,106.41/16,705.95 = 6,800.20/x
  3. Step 3: Cross multiply
    12,106.41x = 16,705.95 × 6,800.20
  4. Step 4: Simplify right side
    12,106.41x = 113,603,827.90
  5. Step 5: Solve for x
    x = 113,603,827.90/12,106.41
  6. Step 6: Final answer
    x = 9,383.77

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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.