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Finding the Fourth Proportional to 20,961, 28,926.29 and 11,400.96

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Solution

The fourth proportional to 20,961, 28,926.29 and 11,400.96 is: 15,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,961 : 28,926.29 = 11,400.96 : x
  2. Step 2: Convert to fraction form
    20,961/28,926.29 = 11,400.96/x
  3. Step 3: Cross multiply
    20,961x = 28,926.29 × 11,400.96
  4. Step 4: Simplify right side
    20,961x = 329,787,395.27
  5. Step 5: Solve for x
    x = 329,787,395.27/20,961
  6. Step 6: Final answer
    x = 15,733.38

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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.