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Finding the Fourth Proportional to 12,683.40, 17,467.06 and 12,412.04

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Solution

The fourth proportional to 12,683.40, 17,467.06 and 12,412.04 is: 17,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.40 : 17,467.06 = 12,412.04 : x
  2. Step 2: Convert to fraction form
    12,683.40/17,467.06 = 12,412.04/x
  3. Step 3: Cross multiply
    12,683.40x = 17,467.06 × 12,412.04
  4. Step 4: Simplify right side
    12,683.40x = 216,801,847.40
  5. Step 5: Solve for x
    x = 216,801,847.40/12,683.40
  6. Step 6: Final answer
    x = 17,093.35

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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.