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Finding the Fourth Proportional to 19,937, 29,906.70 and 6,086.12

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Solution

The fourth proportional to 19,937, 29,906.70 and 6,086.12 is: 9,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937 : 29,906.70 = 6,086.12 : x
  2. Step 2: Convert to fraction form
    19,937/29,906.70 = 6,086.12/x
  3. Step 3: Cross multiply
    19,937x = 29,906.70 × 6,086.12
  4. Step 4: Simplify right side
    19,937x = 182,015,765.00
  5. Step 5: Solve for x
    x = 182,015,765.00/19,937
  6. Step 6: Final answer
    x = 9,129.55

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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.