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Finding the Fourth Proportional to 12,317.49, 18,474.68 and 3,433.50

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Solution

The fourth proportional to 12,317.49, 18,474.68 and 3,433.50 is: 5,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.49 : 18,474.68 = 3,433.50 : x
  2. Step 2: Convert to fraction form
    12,317.49/18,474.68 = 3,433.50/x
  3. Step 3: Cross multiply
    12,317.49x = 18,474.68 × 3,433.50
  4. Step 4: Simplify right side
    12,317.49x = 63,432,796.61
  5. Step 5: Solve for x
    x = 63,432,796.61/12,317.49
  6. Step 6: Final answer
    x = 5,149.82

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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.