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Finding the Fourth Proportional to 12,614.22, 18,901.88 and 7,987.50

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Solution

The fourth proportional to 12,614.22, 18,901.88 and 7,987.50 is: 11,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.22 : 18,901.88 = 7,987.50 : x
  2. Step 2: Convert to fraction form
    12,614.22/18,901.88 = 7,987.50/x
  3. Step 3: Cross multiply
    12,614.22x = 18,901.88 × 7,987.50
  4. Step 4: Simplify right side
    12,614.22x = 150,978,766.50
  5. Step 5: Solve for x
    x = 150,978,766.50/12,614.22
  6. Step 6: Final answer
    x = 11,968.93

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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.