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Finding the Fourth Proportional to 16,074.25, 24,118.26 and 8,288.53

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Solution

The fourth proportional to 16,074.25, 24,118.26 and 8,288.53 is: 12,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.25 : 24,118.26 = 8,288.53 : x
  2. Step 2: Convert to fraction form
    16,074.25/24,118.26 = 8,288.53/x
  3. Step 3: Cross multiply
    16,074.25x = 24,118.26 × 8,288.53
  4. Step 4: Simplify right side
    16,074.25x = 199,904,830.18
  5. Step 5: Solve for x
    x = 199,904,830.18/16,074.25
  6. Step 6: Final answer
    x = 12,436.34

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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.