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Finding the Fourth Proportional to 16,565.03, 24,833.50 and 7,198

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Solution

The fourth proportional to 16,565.03, 24,833.50 and 7,198 is: 10,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.03 : 24,833.50 = 7,198 : x
  2. Step 2: Convert to fraction form
    16,565.03/24,833.50 = 7,198/x
  3. Step 3: Cross multiply
    16,565.03x = 24,833.50 × 7,198
  4. Step 4: Simplify right side
    16,565.03x = 178,751,533
  5. Step 5: Solve for x
    x = 178,751,533/16,565.03
  6. Step 6: Final answer
    x = 10,790.90

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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.