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Finding the Fourth Proportional to 12,351.65, 18,513.88 and 6,102.41

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Solution

The fourth proportional to 12,351.65, 18,513.88 and 6,102.41 is: 9,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.65 : 18,513.88 = 6,102.41 : x
  2. Step 2: Convert to fraction form
    12,351.65/18,513.88 = 6,102.41/x
  3. Step 3: Cross multiply
    12,351.65x = 18,513.88 × 6,102.41
  4. Step 4: Simplify right side
    12,351.65x = 112,979,286.45
  5. Step 5: Solve for x
    x = 112,979,286.45/12,351.65
  6. Step 6: Final answer
    x = 9,146.90

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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.