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Finding the Fourth Proportional to 16,465.33, 24,697.91 and 5,371.97

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Solution

The fourth proportional to 16,465.33, 24,697.91 and 5,371.97 is: 8,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.33 : 24,697.91 = 5,371.97 : x
  2. Step 2: Convert to fraction form
    16,465.33/24,697.91 = 5,371.97/x
  3. Step 3: Cross multiply
    16,465.33x = 24,697.91 × 5,371.97
  4. Step 4: Simplify right side
    16,465.33x = 132,676,460.45
  5. Step 5: Solve for x
    x = 132,676,460.45/16,465.33
  6. Step 6: Final answer
    x = 8,057.93

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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.