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Finding the Fourth Proportional to 13,611.20, 18,782.84 and 7,642.74

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Solution

The fourth proportional to 13,611.20, 18,782.84 and 7,642.74 is: 10,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.20 : 18,782.84 = 7,642.74 : x
  2. Step 2: Convert to fraction form
    13,611.20/18,782.84 = 7,642.74/x
  3. Step 3: Cross multiply
    13,611.20x = 18,782.84 × 7,642.74
  4. Step 4: Simplify right side
    13,611.20x = 143,552,362.58
  5. Step 5: Solve for x
    x = 143,552,362.58/13,611.20
  6. Step 6: Final answer
    x = 10,546.64

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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.