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Finding the Fourth Proportional to 20,063.80, 30,094.62 and 9,643.96

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Solution

The fourth proportional to 20,063.80, 30,094.62 and 9,643.96 is: 14,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,063.80 : 30,094.62 = 9,643.96 : x
  2. Step 2: Convert to fraction form
    20,063.80/30,094.62 = 9,643.96/x
  3. Step 3: Cross multiply
    20,063.80x = 30,094.62 × 9,643.96
  4. Step 4: Simplify right side
    20,063.80x = 290,231,311.50
  5. Step 5: Solve for x
    x = 290,231,311.50/20,063.80
  6. Step 6: Final answer
    x = 14,465.42

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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.