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Finding the Fourth Proportional to 13,546.32, 18,685.80 and 8,578.32

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Solution

The fourth proportional to 13,546.32, 18,685.80 and 8,578.32 is: 11,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.32 : 18,685.80 = 8,578.32 : x
  2. Step 2: Convert to fraction form
    13,546.32/18,685.80 = 8,578.32/x
  3. Step 3: Cross multiply
    13,546.32x = 18,685.80 × 8,578.32
  4. Step 4: Simplify right side
    13,546.32x = 160,292,771.86
  5. Step 5: Solve for x
    x = 160,292,771.86/13,546.32
  6. Step 6: Final answer
    x = 11,832.94

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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.