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Finding the Fourth Proportional to 23,788.34, 35,687.52 and 8,996.93

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Solution

The fourth proportional to 23,788.34, 35,687.52 and 8,996.93 is: 13,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.34 : 35,687.52 = 8,996.93 : x
  2. Step 2: Convert to fraction form
    23,788.34/35,687.52 = 8,996.93/x
  3. Step 3: Cross multiply
    23,788.34x = 35,687.52 × 8,996.93
  4. Step 4: Simplify right side
    23,788.34x = 321,078,119.31
  5. Step 5: Solve for x
    x = 321,078,119.31/23,788.34
  6. Step 6: Final answer
    x = 13,497.29

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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.