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Finding the Fourth Proportional to 12,611.22, 18,897.38 and 7,984.50

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Solution

The fourth proportional to 12,611.22, 18,897.38 and 7,984.50 is: 11,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.22 : 18,897.38 = 7,984.50 : x
  2. Step 2: Convert to fraction form
    12,611.22/18,897.38 = 7,984.50/x
  3. Step 3: Cross multiply
    12,611.22x = 18,897.38 × 7,984.50
  4. Step 4: Simplify right side
    12,611.22x = 150,886,130.61
  5. Step 5: Solve for x
    x = 150,886,130.61/12,611.22
  6. Step 6: Final answer
    x = 11,964.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.