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Finding the Fourth Proportional to 16,189.92, 24,284.96 and 5,097.48

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Solution

The fourth proportional to 16,189.92, 24,284.96 and 5,097.48 is: 7,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.92 : 24,284.96 = 5,097.48 : x
  2. Step 2: Convert to fraction form
    16,189.92/24,284.96 = 5,097.48/x
  3. Step 3: Cross multiply
    16,189.92x = 24,284.96 × 5,097.48
  4. Step 4: Simplify right side
    16,189.92x = 123,792,097.90
  5. Step 5: Solve for x
    x = 123,792,097.90/16,189.92
  6. Step 6: Final answer
    x = 7,646.25

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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.