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Finding the Fourth Proportional to 20,829, 28,744.02 and 11,397.56

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Solution

The fourth proportional to 20,829, 28,744.02 and 11,397.56 is: 15,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,829 : 28,744.02 = 11,397.56 : x
  2. Step 2: Convert to fraction form
    20,829/28,744.02 = 11,397.56/x
  3. Step 3: Cross multiply
    20,829x = 28,744.02 × 11,397.56
  4. Step 4: Simplify right side
    20,829x = 327,611,764.45
  5. Step 5: Solve for x
    x = 327,611,764.45/20,829
  6. Step 6: Final answer
    x = 15,728.64

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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.