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Finding the Fourth Proportional to 23,634.56, 32,616.38 and 13,024.89

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Solution

The fourth proportional to 23,634.56, 32,616.38 and 13,024.89 is: 17,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.56 : 32,616.38 = 13,024.89 : x
  2. Step 2: Convert to fraction form
    23,634.56/32,616.38 = 13,024.89/x
  3. Step 3: Cross multiply
    23,634.56x = 32,616.38 × 13,024.89
  4. Step 4: Simplify right side
    23,634.56x = 424,824,794.26
  5. Step 5: Solve for x
    x = 424,824,794.26/23,634.56
  6. Step 6: Final answer
    x = 17,974.73

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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.