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Finding the Fourth Proportional to 16,262.50, 24,393.77 and 4,575.73

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Solution

The fourth proportional to 16,262.50, 24,393.77 and 4,575.73 is: 6,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.50 : 24,393.77 = 4,575.73 : x
  2. Step 2: Convert to fraction form
    16,262.50/24,393.77 = 4,575.73/x
  3. Step 3: Cross multiply
    16,262.50x = 24,393.77 × 4,575.73
  4. Step 4: Simplify right side
    16,262.50x = 111,619,305.20
  5. Step 5: Solve for x
    x = 111,619,305.20/16,262.50
  6. Step 6: Final answer
    x = 6,863.60

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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.