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Finding the Fourth Proportional to 21,674.68, 29,911.14 and 11,738.68

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Solution

The fourth proportional to 21,674.68, 29,911.14 and 11,738.68 is: 16,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.68 : 29,911.14 = 11,738.68 : x
  2. Step 2: Convert to fraction form
    21,674.68/29,911.14 = 11,738.68/x
  3. Step 3: Cross multiply
    21,674.68x = 29,911.14 × 11,738.68
  4. Step 4: Simplify right side
    21,674.68x = 351,117,300.90
  5. Step 5: Solve for x
    x = 351,117,300.90/21,674.68
  6. Step 6: Final answer
    x = 16,199.42

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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.