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Finding the Fourth Proportional to 18,435.96, 27,657.78 and 6,123

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Solution

The fourth proportional to 18,435.96, 27,657.78 and 6,123 is: 9,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,435.96 : 27,657.78 = 6,123 : x
  2. Step 2: Convert to fraction form
    18,435.96/27,657.78 = 6,123/x
  3. Step 3: Cross multiply
    18,435.96x = 27,657.78 × 6,123
  4. Step 4: Simplify right side
    18,435.96x = 169,348,586.94
  5. Step 5: Solve for x
    x = 169,348,586.94/18,435.96
  6. Step 6: Final answer
    x = 9,185.78

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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.