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Finding the Fourth Proportional to 20,867.20, 31,243.20 and 16,259.20

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Solution

The fourth proportional to 20,867.20, 31,243.20 and 16,259.20 is: 24,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867.20 : 31,243.20 = 16,259.20 : x
  2. Step 2: Convert to fraction form
    20,867.20/31,243.20 = 16,259.20/x
  3. Step 3: Cross multiply
    20,867.20x = 31,243.20 × 16,259.20
  4. Step 4: Simplify right side
    20,867.20x = 507,989,437.44
  5. Step 5: Solve for x
    x = 507,989,437.44/20,867.20
  6. Step 6: Final answer
    x = 24,343.92

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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.