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Finding the Fourth Proportional to 30,201.63, 41,678.81 and 16,774.12

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Solution

The fourth proportional to 30,201.63, 41,678.81 and 16,774.12 is: 23,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.63 : 41,678.81 = 16,774.12 : x
  2. Step 2: Convert to fraction form
    30,201.63/41,678.81 = 16,774.12/x
  3. Step 3: Cross multiply
    30,201.63x = 41,678.81 × 16,774.12
  4. Step 4: Simplify right side
    30,201.63x = 699,125,360.40
  5. Step 5: Solve for x
    x = 699,125,360.40/30,201.63
  6. Step 6: Final answer
    x = 23,148.60

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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.