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Finding the Fourth Proportional to 12,106.08, 16,706.64 and 6,801.44

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Solution

The fourth proportional to 12,106.08, 16,706.64 and 6,801.44 is: 9,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.08 : 16,706.64 = 6,801.44 : x
  2. Step 2: Convert to fraction form
    12,106.08/16,706.64 = 6,801.44/x
  3. Step 3: Cross multiply
    12,106.08x = 16,706.64 × 6,801.44
  4. Step 4: Simplify right side
    12,106.08x = 113,629,209.56
  5. Step 5: Solve for x
    x = 113,629,209.56/12,106.08
  6. Step 6: Final answer
    x = 9,386.13

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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.