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Finding the Fourth Proportional to 13,657.41, 18,853.04 and 9,183.75

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Solution

The fourth proportional to 13,657.41, 18,853.04 and 9,183.75 is: 12,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.41 : 18,853.04 = 9,183.75 : x
  2. Step 2: Convert to fraction form
    13,657.41/18,853.04 = 9,183.75/x
  3. Step 3: Cross multiply
    13,657.41x = 18,853.04 × 9,183.75
  4. Step 4: Simplify right side
    13,657.41x = 173,141,606.10
  5. Step 5: Solve for x
    x = 173,141,606.10/13,657.41
  6. Step 6: Final answer
    x = 12,677.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.