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Finding the Fourth Proportional to 12,381.64, 18,544.78 and 9,599.92

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Solution

The fourth proportional to 12,381.64, 18,544.78 and 9,599.92 is: 14,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.64 : 18,544.78 = 9,599.92 : x
  2. Step 2: Convert to fraction form
    12,381.64/18,544.78 = 9,599.92/x
  3. Step 3: Cross multiply
    12,381.64x = 18,544.78 × 9,599.92
  4. Step 4: Simplify right side
    12,381.64x = 178,028,404.42
  5. Step 5: Solve for x
    x = 178,028,404.42/12,381.64
  6. Step 6: Final answer
    x = 14,378.42

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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.