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Finding the Fourth Proportional to 16,465.33, 24,702.77 and 5,375.19

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Solution

The fourth proportional to 16,465.33, 24,702.77 and 5,375.19 is: 8,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.33 : 24,702.77 = 5,375.19 : x
  2. Step 2: Convert to fraction form
    16,465.33/24,702.77 = 5,375.19/x
  3. Step 3: Cross multiply
    16,465.33x = 24,702.77 × 5,375.19
  4. Step 4: Simplify right side
    16,465.33x = 132,782,082.28
  5. Step 5: Solve for x
    x = 132,782,082.28/16,465.33
  6. Step 6: Final answer
    x = 8,064.34

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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.