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Finding the Fourth Proportional to 26,016, 39,024 and 9,600

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Solution

The fourth proportional to 26,016, 39,024 and 9,600 is: 14,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016 : 39,024 = 9,600 : x
  2. Step 2: Convert to fraction form
    26,016/39,024 = 9,600/x
  3. Step 3: Cross multiply
    26,016x = 39,024 × 9,600
  4. Step 4: Simplify right side
    26,016x = 374,630,400
  5. Step 5: Solve for x
    x = 374,630,400/26,016
  6. Step 6: Final answer
    x = 14,400

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.