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Finding the Fourth Proportional to 23,676, 35,514 and 7,260

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Solution

The fourth proportional to 23,676, 35,514 and 7,260 is: 10,890

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676 : 35,514 = 7,260 : x
  2. Step 2: Convert to fraction form
    23,676/35,514 = 7,260/x
  3. Step 3: Cross multiply
    23,676x = 35,514 × 7,260
  4. Step 4: Simplify right side
    23,676x = 257,831,640
  5. Step 5: Solve for x
    x = 257,831,640/23,676
  6. Step 6: Final answer
    x = 10,890

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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.