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Finding the Fourth Proportional to 21,829.26, 30,122.76 and 12,396

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Solution

The fourth proportional to 21,829.26, 30,122.76 and 12,396 is: 17,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.26 : 30,122.76 = 12,396 : x
  2. Step 2: Convert to fraction form
    21,829.26/30,122.76 = 12,396/x
  3. Step 3: Cross multiply
    21,829.26x = 30,122.76 × 12,396
  4. Step 4: Simplify right side
    21,829.26x = 373,401,732.96
  5. Step 5: Solve for x
    x = 373,401,732.96/21,829.26
  6. Step 6: Final answer
    x = 17,105.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.