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Finding the Fourth Proportional to 12,087.68, 18,115.20 and 6,232

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Solution

The fourth proportional to 12,087.68, 18,115.20 and 6,232 is: 9,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.68 : 18,115.20 = 6,232 : x
  2. Step 2: Convert to fraction form
    12,087.68/18,115.20 = 6,232/x
  3. Step 3: Cross multiply
    12,087.68x = 18,115.20 × 6,232
  4. Step 4: Simplify right side
    12,087.68x = 112,893,926.40
  5. Step 5: Solve for x
    x = 112,893,926.40/12,087.68
  6. Step 6: Final answer
    x = 9,339.59

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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.