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Finding the Fourth Proportional to 16,358.44, 24,544.14 and 5,977.48

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Solution

The fourth proportional to 16,358.44, 24,544.14 and 5,977.48 is: 8,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.44 : 24,544.14 = 5,977.48 : x
  2. Step 2: Convert to fraction form
    16,358.44/24,544.14 = 5,977.48/x
  3. Step 3: Cross multiply
    16,358.44x = 24,544.14 × 5,977.48
  4. Step 4: Simplify right side
    16,358.44x = 146,712,105.97
  5. Step 5: Solve for x
    x = 146,712,105.97/16,358.44
  6. Step 6: Final answer
    x = 8,968.59

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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.