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Finding the Fourth Proportional to 23,838.02, 35,748.93 and 8,252

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Solution

The fourth proportional to 23,838.02, 35,748.93 and 8,252 is: 12,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.02 : 35,748.93 = 8,252 : x
  2. Step 2: Convert to fraction form
    23,838.02/35,748.93 = 8,252/x
  3. Step 3: Cross multiply
    23,838.02x = 35,748.93 × 8,252
  4. Step 4: Simplify right side
    23,838.02x = 295,000,170.36
  5. Step 5: Solve for x
    x = 295,000,170.36/23,838.02
  6. Step 6: Final answer
    x = 12,375.20

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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.