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Finding the Fourth Proportional to 16,783.68, 25,175.60 and 5,097

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Solution

The fourth proportional to 16,783.68, 25,175.60 and 5,097 is: 7,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.68 : 25,175.60 = 5,097 : x
  2. Step 2: Convert to fraction form
    16,783.68/25,175.60 = 5,097/x
  3. Step 3: Cross multiply
    16,783.68x = 25,175.60 × 5,097
  4. Step 4: Simplify right side
    16,783.68x = 128,320,033.20
  5. Step 5: Solve for x
    x = 128,320,033.20/16,783.68
  6. Step 6: Final answer
    x = 7,645.52

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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.