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Finding the Fourth Proportional to 23,611.90, 32,584.02 and 13,539.74

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Solution

The fourth proportional to 23,611.90, 32,584.02 and 13,539.74 is: 18,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.90 : 32,584.02 = 13,539.74 : x
  2. Step 2: Convert to fraction form
    23,611.90/32,584.02 = 13,539.74/x
  3. Step 3: Cross multiply
    23,611.90x = 32,584.02 × 13,539.74
  4. Step 4: Simplify right side
    23,611.90x = 441,179,158.95
  5. Step 5: Solve for x
    x = 441,179,158.95/23,611.90
  6. Step 6: Final answer
    x = 18,684.61

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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.