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Finding the Fourth Proportional to 12,381.50, 18,570.94 and 3,496.61

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Solution

The fourth proportional to 12,381.50, 18,570.94 and 3,496.61 is: 5,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.50 : 18,570.94 = 3,496.61 : x
  2. Step 2: Convert to fraction form
    12,381.50/18,570.94 = 3,496.61/x
  3. Step 3: Cross multiply
    12,381.50x = 18,570.94 × 3,496.61
  4. Step 4: Simplify right side
    12,381.50x = 64,935,372.20
  5. Step 5: Solve for x
    x = 64,935,372.20/12,381.50
  6. Step 6: Final answer
    x = 5,244.55

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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.