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Finding the Fourth Proportional to 16,190.52, 24,286.74 and 5,097.57

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Solution

The fourth proportional to 16,190.52, 24,286.74 and 5,097.57 is: 7,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,190.52 : 24,286.74 = 5,097.57 : x
  2. Step 2: Convert to fraction form
    16,190.52/24,286.74 = 5,097.57/x
  3. Step 3: Cross multiply
    16,190.52x = 24,286.74 × 5,097.57
  4. Step 4: Simplify right side
    16,190.52x = 123,803,357.22
  5. Step 5: Solve for x
    x = 123,803,357.22/16,190.52
  6. Step 6: Final answer
    x = 7,646.66

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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.