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Finding the Fourth Proportional to 20,201.09, 30,301.16 and 5,410.00

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Solution

The fourth proportional to 20,201.09, 30,301.16 and 5,410.00 is: 8,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.09 : 30,301.16 = 5,410.00 : x
  2. Step 2: Convert to fraction form
    20,201.09/30,301.16 = 5,410.00/x
  3. Step 3: Cross multiply
    20,201.09x = 30,301.16 × 5,410.00
  4. Step 4: Simplify right side
    20,201.09x = 163,929,097.04
  5. Step 5: Solve for x
    x = 163,929,097.04/20,201.09
  6. Step 6: Final answer
    x = 8,114.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.