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Finding the Fourth Proportional to 20,832, 28,748.16 and 11,400.57

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Solution

The fourth proportional to 20,832, 28,748.16 and 11,400.57 is: 15,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,832 : 28,748.16 = 11,400.57 : x
  2. Step 2: Convert to fraction form
    20,832/28,748.16 = 11,400.57/x
  3. Step 3: Cross multiply
    20,832x = 28,748.16 × 11,400.57
  4. Step 4: Simplify right side
    20,832x = 327,745,410.45
  5. Step 5: Solve for x
    x = 327,745,410.45/20,832
  6. Step 6: Final answer
    x = 15,732.79

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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.