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Finding the Fourth Proportional to 16,783.02, 25,174.57 and 7,891.84

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Solution

The fourth proportional to 16,783.02, 25,174.57 and 7,891.84 is: 11,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.02 : 25,174.57 = 7,891.84 : x
  2. Step 2: Convert to fraction form
    16,783.02/25,174.57 = 7,891.84/x
  3. Step 3: Cross multiply
    16,783.02x = 25,174.57 × 7,891.84
  4. Step 4: Simplify right side
    16,783.02x = 198,673,678.51
  5. Step 5: Solve for x
    x = 198,673,678.51/16,783.02
  6. Step 6: Final answer
    x = 11,837.78

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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.