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Finding the Fourth Proportional to 19,956, 29,933.88 and 5,164.86

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Solution

The fourth proportional to 19,956, 29,933.88 and 5,164.86 is: 7,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,956 : 29,933.88 = 5,164.86 : x
  2. Step 2: Convert to fraction form
    19,956/29,933.88 = 5,164.86/x
  3. Step 3: Cross multiply
    19,956x = 29,933.88 × 5,164.86
  4. Step 4: Simplify right side
    19,956x = 154,604,299.46
  5. Step 5: Solve for x
    x = 154,604,299.46/19,956
  6. Step 6: Final answer
    x = 7,747.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.