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Finding the Fourth Proportional to 20,015.12, 30,022.68 and 6,164

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Solution

The fourth proportional to 20,015.12, 30,022.68 and 6,164 is: 9,246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015.12 : 30,022.68 = 6,164 : x
  2. Step 2: Convert to fraction form
    20,015.12/30,022.68 = 6,164/x
  3. Step 3: Cross multiply
    20,015.12x = 30,022.68 × 6,164
  4. Step 4: Simplify right side
    20,015.12x = 185,059,799.52
  5. Step 5: Solve for x
    x = 185,059,799.52/20,015.12
  6. Step 6: Final answer
    x = 9,246.00

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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.