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Finding the Fourth Proportional to 16,493.76, 24,745.50 and 9,927.90

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Solution

The fourth proportional to 16,493.76, 24,745.50 and 9,927.90 is: 14,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.76 : 24,745.50 = 9,927.90 : x
  2. Step 2: Convert to fraction form
    16,493.76/24,745.50 = 9,927.90/x
  3. Step 3: Cross multiply
    16,493.76x = 24,745.50 × 9,927.90
  4. Step 4: Simplify right side
    16,493.76x = 245,670,849.45
  5. Step 5: Solve for x
    x = 245,670,849.45/16,493.76
  6. Step 6: Final answer
    x = 14,894.78

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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.