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Finding the Fourth Proportional to 12,097.68, 16,697.52 and 7,903.52

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Solution

The fourth proportional to 12,097.68, 16,697.52 and 7,903.52 is: 10,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.68 : 16,697.52 = 7,903.52 : x
  2. Step 2: Convert to fraction form
    12,097.68/16,697.52 = 7,903.52/x
  3. Step 3: Cross multiply
    12,097.68x = 16,697.52 × 7,903.52
  4. Step 4: Simplify right side
    12,097.68x = 131,969,183.27
  5. Step 5: Solve for x
    x = 131,969,183.27/12,097.68
  6. Step 6: Final answer
    x = 10,908.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.