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Finding the Fourth Proportional to 23,544, 32,489.28 and 12,933.36

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Solution

The fourth proportional to 23,544, 32,489.28 and 12,933.36 is: 17,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 32,489.28 = 12,933.36 : x
  2. Step 2: Convert to fraction form
    23,544/32,489.28 = 12,933.36/x
  3. Step 3: Cross multiply
    23,544x = 32,489.28 × 12,933.36
  4. Step 4: Simplify right side
    23,544x = 420,195,554.38
  5. Step 5: Solve for x
    x = 420,195,554.38/23,544
  6. Step 6: Final answer
    x = 17,847.25

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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.