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Finding the Fourth Proportional to 20,735.30, 31,036.80 and 16,361.30

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Solution

The fourth proportional to 20,735.30, 31,036.80 and 16,361.30 is: 24,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.30 : 31,036.80 = 16,361.30 : x
  2. Step 2: Convert to fraction form
    20,735.30/31,036.80 = 16,361.30/x
  3. Step 3: Cross multiply
    20,735.30x = 31,036.80 × 16,361.30
  4. Step 4: Simplify right side
    20,735.30x = 507,802,395.84
  5. Step 5: Solve for x
    x = 507,802,395.84/20,735.30
  6. Step 6: Final answer
    x = 24,489.75

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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.