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Finding the Fourth Proportional to 20,084.00, 30,086.78 and 9,539.01

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Solution

The fourth proportional to 20,084.00, 30,086.78 and 9,539.01 is: 14,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.00 : 30,086.78 = 9,539.01 : x
  2. Step 2: Convert to fraction form
    20,084.00/30,086.78 = 9,539.01/x
  3. Step 3: Cross multiply
    20,084.00x = 30,086.78 × 9,539.01
  4. Step 4: Simplify right side
    20,084.00x = 286,998,119.14
  5. Step 5: Solve for x
    x = 286,998,119.14/20,084.00
  6. Step 6: Final answer
    x = 14,289.89

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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.