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Finding the Fourth Proportional to 12,398.14, 18,573.76 and 9,611.16

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Solution

The fourth proportional to 12,398.14, 18,573.76 and 9,611.16 is: 14,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.14 : 18,573.76 = 9,611.16 : x
  2. Step 2: Convert to fraction form
    12,398.14/18,573.76 = 9,611.16/x
  3. Step 3: Cross multiply
    12,398.14x = 18,573.76 × 9,611.16
  4. Step 4: Simplify right side
    12,398.14x = 178,515,286.29
  5. Step 5: Solve for x
    x = 178,515,286.29/12,398.14
  6. Step 6: Final answer
    x = 14,398.55

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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.