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Finding the Fourth Proportional to 16,033.27, 24,050.31 and 7,597.80

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Solution

The fourth proportional to 16,033.27, 24,050.31 and 7,597.80 is: 11,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.27 : 24,050.31 = 7,597.80 : x
  2. Step 2: Convert to fraction form
    16,033.27/24,050.31 = 7,597.80/x
  3. Step 3: Cross multiply
    16,033.27x = 24,050.31 × 7,597.80
  4. Step 4: Simplify right side
    16,033.27x = 182,729,445.32
  5. Step 5: Solve for x
    x = 182,729,445.32/16,033.27
  6. Step 6: Final answer
    x = 11,396.90

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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.