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Finding the Fourth Proportional to 23,193.93, 34,791 and 9,863.49

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Solution

The fourth proportional to 23,193.93, 34,791 and 9,863.49 is: 14,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.93 : 34,791 = 9,863.49 : x
  2. Step 2: Convert to fraction form
    23,193.93/34,791 = 9,863.49/x
  3. Step 3: Cross multiply
    23,193.93x = 34,791 × 9,863.49
  4. Step 4: Simplify right side
    23,193.93x = 343,160,680.59
  5. Step 5: Solve for x
    x = 343,160,680.59/23,193.93
  6. Step 6: Final answer
    x = 14,795.28

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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.