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Finding the Fourth Proportional to 16,379.50, 24,569.26 and 4,067.50

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Solution

The fourth proportional to 16,379.50, 24,569.26 and 4,067.50 is: 6,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.50 : 24,569.26 = 4,067.50 : x
  2. Step 2: Convert to fraction form
    16,379.50/24,569.26 = 4,067.50/x
  3. Step 3: Cross multiply
    16,379.50x = 24,569.26 × 4,067.50
  4. Step 4: Simplify right side
    16,379.50x = 99,935,465.05
  5. Step 5: Solve for x
    x = 99,935,465.05/16,379.50
  6. Step 6: Final answer
    x = 6,101.25

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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.