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Finding the Fourth Proportional to 12,435, 18,652.50 and 3,669.80

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Solution

The fourth proportional to 12,435, 18,652.50 and 3,669.80 is: 5,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435 : 18,652.50 = 3,669.80 : x
  2. Step 2: Convert to fraction form
    12,435/18,652.50 = 3,669.80/x
  3. Step 3: Cross multiply
    12,435x = 18,652.50 × 3,669.80
  4. Step 4: Simplify right side
    12,435x = 68,450,851.24
  5. Step 5: Solve for x
    x = 68,450,851.24/12,435
  6. Step 6: Final answer
    x = 5,504.69

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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.