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Finding the Fourth Proportional to 20,563, 28,376.94 and 11,131.64

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Solution

The fourth proportional to 20,563, 28,376.94 and 11,131.64 is: 15,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563 : 28,376.94 = 11,131.64 : x
  2. Step 2: Convert to fraction form
    20,563/28,376.94 = 11,131.64/x
  3. Step 3: Cross multiply
    20,563x = 28,376.94 × 11,131.64
  4. Step 4: Simplify right side
    20,563x = 315,881,880.38
  5. Step 5: Solve for x
    x = 315,881,880.38/20,563
  6. Step 6: Final answer
    x = 15,361.66

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Why These Related Problems?

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