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Finding the Fourth Proportional to 20,467, 30,705.54 and 6,616

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Solution

The fourth proportional to 20,467, 30,705.54 and 6,616 is: 9,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467 : 30,705.54 = 6,616 : x
  2. Step 2: Convert to fraction form
    20,467/30,705.54 = 6,616/x
  3. Step 3: Cross multiply
    20,467x = 30,705.54 × 6,616
  4. Step 4: Simplify right side
    20,467x = 203,147,852.64
  5. Step 5: Solve for x
    x = 203,147,852.64/20,467
  6. Step 6: Final answer
    x = 9,925.63

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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.