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Finding the Fourth Proportional to 16,216.56, 24,326 and 5,685.36

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Solution

The fourth proportional to 16,216.56, 24,326 and 5,685.36 is: 8,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.56 : 24,326 = 5,685.36 : x
  2. Step 2: Convert to fraction form
    16,216.56/24,326 = 5,685.36/x
  3. Step 3: Cross multiply
    16,216.56x = 24,326 × 5,685.36
  4. Step 4: Simplify right side
    16,216.56x = 138,302,067.36
  5. Step 5: Solve for x
    x = 138,302,067.36/16,216.56
  6. Step 6: Final answer
    x = 8,528.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.