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Finding the Fourth Proportional to 16,783.62, 25,173.80 and 5,096.94

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Solution

The fourth proportional to 16,783.62, 25,173.80 and 5,096.94 is: 7,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.62 : 25,173.80 = 5,096.94 : x
  2. Step 2: Convert to fraction form
    16,783.62/25,173.80 = 5,096.94/x
  3. Step 3: Cross multiply
    16,783.62x = 25,173.80 × 5,096.94
  4. Step 4: Simplify right side
    16,783.62x = 128,309,196.82
  5. Step 5: Solve for x
    x = 128,309,196.82/16,783.62
  6. Step 6: Final answer
    x = 7,644.91

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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.