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Finding the Fourth Proportional to 13,270.74, 18,311.52 and 7,604.39

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Solution

The fourth proportional to 13,270.74, 18,311.52 and 7,604.39 is: 10,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.74 : 18,311.52 = 7,604.39 : x
  2. Step 2: Convert to fraction form
    13,270.74/18,311.52 = 7,604.39/x
  3. Step 3: Cross multiply
    13,270.74x = 18,311.52 × 7,604.39
  4. Step 4: Simplify right side
    13,270.74x = 139,247,939.57
  5. Step 5: Solve for x
    x = 139,247,939.57/13,270.74
  6. Step 6: Final answer
    x = 10,492.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.