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Finding the Fourth Proportional to 23,933.62, 35,915.40 and 9,143.80

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Solution

The fourth proportional to 23,933.62, 35,915.40 and 9,143.80 is: 13,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,933.62 : 35,915.40 = 9,143.80 : x
  2. Step 2: Convert to fraction form
    23,933.62/35,915.40 = 9,143.80/x
  3. Step 3: Cross multiply
    23,933.62x = 35,915.40 × 9,143.80
  4. Step 4: Simplify right side
    23,933.62x = 328,403,234.52
  5. Step 5: Solve for x
    x = 328,403,234.52/23,933.62
  6. Step 6: Final answer
    x = 13,721.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.