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Finding the Fourth Proportional to 23,466.40, 32,383.74 and 12,856

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Solution

The fourth proportional to 23,466.40, 32,383.74 and 12,856 is: 17,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.40 : 32,383.74 = 12,856 : x
  2. Step 2: Convert to fraction form
    23,466.40/32,383.74 = 12,856/x
  3. Step 3: Cross multiply
    23,466.40x = 32,383.74 × 12,856
  4. Step 4: Simplify right side
    23,466.40x = 416,325,361.44
  5. Step 5: Solve for x
    x = 416,325,361.44/23,466.40
  6. Step 6: Final answer
    x = 17,741.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.