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Finding the Fourth Proportional to 12,150.47, 18,194.15 and 10,406.70

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Solution

The fourth proportional to 12,150.47, 18,194.15 and 10,406.70 is: 15,583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.47 : 18,194.15 = 10,406.70 : x
  2. Step 2: Convert to fraction form
    12,150.47/18,194.15 = 10,406.70/x
  3. Step 3: Cross multiply
    12,150.47x = 18,194.15 × 10,406.70
  4. Step 4: Simplify right side
    12,150.47x = 189,341,086.82
  5. Step 5: Solve for x
    x = 189,341,086.82/12,150.47
  6. Step 6: Final answer
    x = 15,583.02

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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.