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Finding the Fourth Proportional to 16,453.48, 24,682.56 and 6,064.42

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Solution

The fourth proportional to 16,453.48, 24,682.56 and 6,064.42 is: 9,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.48 : 24,682.56 = 6,064.42 : x
  2. Step 2: Convert to fraction form
    16,453.48/24,682.56 = 6,064.42/x
  3. Step 3: Cross multiply
    16,453.48x = 24,682.56 × 6,064.42
  4. Step 4: Simplify right side
    16,453.48x = 149,685,410.52
  5. Step 5: Solve for x
    x = 149,685,410.52/16,453.48
  6. Step 6: Final answer
    x = 9,097.49

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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.