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Finding the Fourth Proportional to 30,166.80, 45,255.60 and 12,638.40

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Solution

The fourth proportional to 30,166.80, 45,255.60 and 12,638.40 is: 18,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.80 : 45,255.60 = 12,638.40 : x
  2. Step 2: Convert to fraction form
    30,166.80/45,255.60 = 12,638.40/x
  3. Step 3: Cross multiply
    30,166.80x = 45,255.60 × 12,638.40
  4. Step 4: Simplify right side
    30,166.80x = 571,958,375.04
  5. Step 5: Solve for x
    x = 571,958,375.04/30,166.80
  6. Step 6: Final answer
    x = 18,959.86

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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.