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Finding the Fourth Proportional to 12,683.33, 17,506.76 and 8,206.97

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Solution

The fourth proportional to 12,683.33, 17,506.76 and 8,206.97 is: 11,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.33 : 17,506.76 = 8,206.97 : x
  2. Step 2: Convert to fraction form
    12,683.33/17,506.76 = 8,206.97/x
  3. Step 3: Cross multiply
    12,683.33x = 17,506.76 × 8,206.97
  4. Step 4: Simplify right side
    12,683.33x = 143,677,325.55
  5. Step 5: Solve for x
    x = 143,677,325.55/12,683.33
  6. Step 6: Final answer
    x = 11,328.05

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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.