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Finding the Fourth Proportional to 12,630.56, 18,923.14 and 7,433.60

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Solution

The fourth proportional to 12,630.56, 18,923.14 and 7,433.60 is: 11,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,630.56 : 18,923.14 = 7,433.60 : x
  2. Step 2: Convert to fraction form
    12,630.56/18,923.14 = 7,433.60/x
  3. Step 3: Cross multiply
    12,630.56x = 18,923.14 × 7,433.60
  4. Step 4: Simplify right side
    12,630.56x = 140,667,053.50
  5. Step 5: Solve for x
    x = 140,667,053.50/12,630.56
  6. Step 6: Final answer
    x = 11,137.04

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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.