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Finding the Fourth Proportional to 20,724.30, 31,020.30 and 16,350.30

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Solution

The fourth proportional to 20,724.30, 31,020.30 and 16,350.30 is: 24,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724.30 : 31,020.30 = 16,350.30 : x
  2. Step 2: Convert to fraction form
    20,724.30/31,020.30 = 16,350.30/x
  3. Step 3: Cross multiply
    20,724.30x = 31,020.30 × 16,350.30
  4. Step 4: Simplify right side
    20,724.30x = 507,191,211.09
  5. Step 5: Solve for x
    x = 507,191,211.09/20,724.30
  6. Step 6: Final answer
    x = 24,473.26

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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.