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Finding the Fourth Proportional to 15,614.25, 23,419.65 and 3,927.47

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Solution

The fourth proportional to 15,614.25, 23,419.65 and 3,927.47 is: 5,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.25 : 23,419.65 = 3,927.47 : x
  2. Step 2: Convert to fraction form
    15,614.25/23,419.65 = 3,927.47/x
  3. Step 3: Cross multiply
    15,614.25x = 23,419.65 × 3,927.47
  4. Step 4: Simplify right side
    15,614.25x = 91,979,855.69
  5. Step 5: Solve for x
    x = 91,979,855.69/15,614.25
  6. Step 6: Final answer
    x = 5,890.76

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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.