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Finding the Fourth Proportional to 12,309.50, 18,464.25 and 5,013.50

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Solution

The fourth proportional to 12,309.50, 18,464.25 and 5,013.50 is: 7,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.50 : 18,464.25 = 5,013.50 : x
  2. Step 2: Convert to fraction form
    12,309.50/18,464.25 = 5,013.50/x
  3. Step 3: Cross multiply
    12,309.50x = 18,464.25 × 5,013.50
  4. Step 4: Simplify right side
    12,309.50x = 92,570,517.38
  5. Step 5: Solve for x
    x = 92,570,517.38/12,309.50
  6. Step 6: Final answer
    x = 7,520.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.