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Finding the Fourth Proportional to 20,015.54, 30,016.11 and 6,864.38

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Solution

The fourth proportional to 20,015.54, 30,016.11 and 6,864.38 is: 10,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,015.54 : 30,016.11 = 6,864.38 : x
  2. Step 2: Convert to fraction form
    20,015.54/30,016.11 = 6,864.38/x
  3. Step 3: Cross multiply
    20,015.54x = 30,016.11 × 6,864.38
  4. Step 4: Simplify right side
    20,015.54x = 206,041,985.16
  5. Step 5: Solve for x
    x = 206,041,985.16/20,015.54
  6. Step 6: Final answer
    x = 10,294.10

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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.