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Finding the Fourth Proportional to 30,164.07, 41,619.74 and 17,414.49

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Solution

The fourth proportional to 30,164.07, 41,619.74 and 17,414.49 is: 24,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.07 : 41,619.74 = 17,414.49 : x
  2. Step 2: Convert to fraction form
    30,164.07/41,619.74 = 17,414.49/x
  3. Step 3: Cross multiply
    30,164.07x = 41,619.74 × 17,414.49
  4. Step 4: Simplify right side
    30,164.07x = 724,786,458.96
  5. Step 5: Solve for x
    x = 724,786,458.96/30,164.07
  6. Step 6: Final answer
    x = 24,028.14

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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.