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Finding the Fourth Proportional to 18,944.66, 28,405.38 and 7,859

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Solution

The fourth proportional to 18,944.66, 28,405.38 and 7,859 is: 11,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,944.66 : 28,405.38 = 7,859 : x
  2. Step 2: Convert to fraction form
    18,944.66/28,405.38 = 7,859/x
  3. Step 3: Cross multiply
    18,944.66x = 28,405.38 × 7,859
  4. Step 4: Simplify right side
    18,944.66x = 223,237,881.42
  5. Step 5: Solve for x
    x = 223,237,881.42/18,944.66
  6. Step 6: Final answer
    x = 11,783.68

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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.