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Finding the Fourth Proportional to 23,455, 32,367.68 and 12,844.60

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Solution

The fourth proportional to 23,455, 32,367.68 and 12,844.60 is: 17,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,455 : 32,367.68 = 12,844.60 : x
  2. Step 2: Convert to fraction form
    23,455/32,367.68 = 12,844.60/x
  3. Step 3: Cross multiply
    23,455x = 32,367.68 × 12,844.60
  4. Step 4: Simplify right side
    23,455x = 415,749,902.53
  5. Step 5: Solve for x
    x = 415,749,902.53/23,455
  6. Step 6: Final answer
    x = 17,725.43

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1.5x scale

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.