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Finding the Fourth Proportional to 12,373.70, 18,553.25 and 4,971.92

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Solution

The fourth proportional to 12,373.70, 18,553.25 and 4,971.92 is: 7,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,373.70 : 18,553.25 = 4,971.92 : x
  2. Step 2: Convert to fraction form
    12,373.70/18,553.25 = 4,971.92/x
  3. Step 3: Cross multiply
    12,373.70x = 18,553.25 × 4,971.92
  4. Step 4: Simplify right side
    12,373.70x = 92,245,194.40
  5. Step 5: Solve for x
    x = 92,245,194.40/12,373.70
  6. Step 6: Final answer
    x = 7,454.94

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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.