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Finding the Fourth Proportional to 16,843.46, 25,265.25 and 5,156.63

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Solution

The fourth proportional to 16,843.46, 25,265.25 and 5,156.63 is: 7,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.46 : 25,265.25 = 5,156.63 : x
  2. Step 2: Convert to fraction form
    16,843.46/25,265.25 = 5,156.63/x
  3. Step 3: Cross multiply
    16,843.46x = 25,265.25 × 5,156.63
  4. Step 4: Simplify right side
    16,843.46x = 130,283,546.11
  5. Step 5: Solve for x
    x = 130,283,546.11/16,843.46
  6. Step 6: Final answer
    x = 7,734.96

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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.