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Finding the Fourth Proportional to 30,207.96, 41,684.70 and 16,778.07

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Solution

The fourth proportional to 30,207.96, 41,684.70 and 16,778.07 is: 23,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.96 : 41,684.70 = 16,778.07 : x
  2. Step 2: Convert to fraction form
    30,207.96/41,684.70 = 16,778.07/x
  3. Step 3: Cross multiply
    30,207.96x = 41,684.70 × 16,778.07
  4. Step 4: Simplify right side
    30,207.96x = 699,388,814.53
  5. Step 5: Solve for x
    x = 699,388,814.53/30,207.96
  6. Step 6: Final answer
    x = 23,152.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.