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Finding the Fourth Proportional to 21,546, 32,319 and 9,234

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Solution

The fourth proportional to 21,546, 32,319 and 9,234 is: 13,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546 : 32,319 = 9,234 : x
  2. Step 2: Convert to fraction form
    21,546/32,319 = 9,234/x
  3. Step 3: Cross multiply
    21,546x = 32,319 × 9,234
  4. Step 4: Simplify right side
    21,546x = 298,433,646
  5. Step 5: Solve for x
    x = 298,433,646/21,546
  6. Step 6: Final answer
    x = 13,851

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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.