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Finding the Fourth Proportional to 23,915.34, 35,872.98 and 8,322

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Solution

The fourth proportional to 23,915.34, 35,872.98 and 8,322 is: 12,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915.34 : 35,872.98 = 8,322 : x
  2. Step 2: Convert to fraction form
    23,915.34/35,872.98 = 8,322/x
  3. Step 3: Cross multiply
    23,915.34x = 35,872.98 × 8,322
  4. Step 4: Simplify right side
    23,915.34x = 298,534,939.56
  5. Step 5: Solve for x
    x = 298,534,939.56/23,915.34
  6. Step 6: Final answer
    x = 12,482.99

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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.