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Finding the Fourth Proportional to 13,812.35, 19,060.38 and 7,843.23

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Solution

The fourth proportional to 13,812.35, 19,060.38 and 7,843.23 is: 10,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.35 : 19,060.38 = 7,843.23 : x
  2. Step 2: Convert to fraction form
    13,812.35/19,060.38 = 7,843.23/x
  3. Step 3: Cross multiply
    13,812.35x = 19,060.38 × 7,843.23
  4. Step 4: Simplify right side
    13,812.35x = 149,494,944.23
  5. Step 5: Solve for x
    x = 149,494,944.23/13,812.35
  6. Step 6: Final answer
    x = 10,823.28

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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.