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Finding the Fourth Proportional to 30,830.60, 42,546.12 and 16,683.44

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Solution

The fourth proportional to 30,830.60, 42,546.12 and 16,683.44 is: 23,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.60 : 42,546.12 = 16,683.44 : x
  2. Step 2: Convert to fraction form
    30,830.60/42,546.12 = 16,683.44/x
  3. Step 3: Cross multiply
    30,830.60x = 42,546.12 × 16,683.44
  4. Step 4: Simplify right side
    30,830.60x = 709,815,640.25
  5. Step 5: Solve for x
    x = 709,815,640.25/30,830.60
  6. Step 6: Final answer
    x = 23,023.09

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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.