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Finding the Fourth Proportional to 12,443.14, 18,653.64 and 4,120.71

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Solution

The fourth proportional to 12,443.14, 18,653.64 and 4,120.71 is: 6,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.14 : 18,653.64 = 4,120.71 : x
  2. Step 2: Convert to fraction form
    12,443.14/18,653.64 = 4,120.71/x
  3. Step 3: Cross multiply
    12,443.14x = 18,653.64 × 4,120.71
  4. Step 4: Simplify right side
    12,443.14x = 76,866,240.88
  5. Step 5: Solve for x
    x = 76,866,240.88/12,443.14
  6. Step 6: Final answer
    x = 6,177.40

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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.