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Finding the Fourth Proportional to 16,552.25, 24,814.39 and 7,185.18

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Solution

The fourth proportional to 16,552.25, 24,814.39 and 7,185.18 is: 10,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.25 : 24,814.39 = 7,185.18 : x
  2. Step 2: Convert to fraction form
    16,552.25/24,814.39 = 7,185.18/x
  3. Step 3: Cross multiply
    16,552.25x = 24,814.39 × 7,185.18
  4. Step 4: Simplify right side
    16,552.25x = 178,295,858.74
  5. Step 5: Solve for x
    x = 178,295,858.74/16,552.25
  6. Step 6: Final answer
    x = 10,771.70

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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.