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Finding the Fourth Proportional to 20,988, 31,482 and 6,944.26

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Solution

The fourth proportional to 20,988, 31,482 and 6,944.26 is: 10,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988 : 31,482 = 6,944.26 : x
  2. Step 2: Convert to fraction form
    20,988/31,482 = 6,944.26/x
  3. Step 3: Cross multiply
    20,988x = 31,482 × 6,944.26
  4. Step 4: Simplify right side
    20,988x = 218,619,193.32
  5. Step 5: Solve for x
    x = 218,619,193.32/20,988
  6. Step 6: Final answer
    x = 10,416.39

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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.