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Finding the Fourth Proportional to 25,672, 38,508 and 9,256

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Solution

The fourth proportional to 25,672, 38,508 and 9,256 is: 13,884

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672 : 38,508 = 9,256 : x
  2. Step 2: Convert to fraction form
    25,672/38,508 = 9,256/x
  3. Step 3: Cross multiply
    25,672x = 38,508 × 9,256
  4. Step 4: Simplify right side
    25,672x = 356,430,048
  5. Step 5: Solve for x
    x = 356,430,048/25,672
  6. Step 6: Final answer
    x = 13,884

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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.