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Finding the Fourth Proportional to 12,399.39, 18,575.64 and 9,612.41

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Solution

The fourth proportional to 12,399.39, 18,575.64 and 9,612.41 is: 14,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.39 : 18,575.64 = 9,612.41 : x
  2. Step 2: Convert to fraction form
    12,399.39/18,575.64 = 9,612.41/x
  3. Step 3: Cross multiply
    12,399.39x = 18,575.64 × 9,612.41
  4. Step 4: Simplify right side
    12,399.39x = 178,556,526.75
  5. Step 5: Solve for x
    x = 178,556,526.75/12,399.39
  6. Step 6: Final answer
    x = 14,400.43

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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.