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Finding the Fourth Proportional to 23,632.50, 32,611.80 and 12,877.41

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Solution

The fourth proportional to 23,632.50, 32,611.80 and 12,877.41 is: 17,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.50 : 32,611.80 = 12,877.41 : x
  2. Step 2: Convert to fraction form
    23,632.50/32,611.80 = 12,877.41/x
  3. Step 3: Cross multiply
    23,632.50x = 32,611.80 × 12,877.41
  4. Step 4: Simplify right side
    23,632.50x = 419,955,519.44
  5. Step 5: Solve for x
    x = 419,955,519.44/23,632.50
  6. Step 6: Final answer
    x = 17,770.25

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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.