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Finding the Fourth Proportional to 23,046.50, 34,580.50 and 11,947.13

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Solution

The fourth proportional to 23,046.50, 34,580.50 and 11,947.13 is: 17,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.50 : 34,580.50 = 11,947.13 : x
  2. Step 2: Convert to fraction form
    23,046.50/34,580.50 = 11,947.13/x
  3. Step 3: Cross multiply
    23,046.50x = 34,580.50 × 11,947.13
  4. Step 4: Simplify right side
    23,046.50x = 413,137,556.06
  5. Step 5: Solve for x
    x = 413,137,556.06/23,046.50
  6. Step 6: Final answer
    x = 17,926.26

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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.