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Finding the Fourth Proportional to 16,267.50, 24,382.41 and 7,483.98

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Solution

The fourth proportional to 16,267.50, 24,382.41 and 7,483.98 is: 11,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.50 : 24,382.41 = 7,483.98 : x
  2. Step 2: Convert to fraction form
    16,267.50/24,382.41 = 7,483.98/x
  3. Step 3: Cross multiply
    16,267.50x = 24,382.41 × 7,483.98
  4. Step 4: Simplify right side
    16,267.50x = 182,477,468.79
  5. Step 5: Solve for x
    x = 182,477,468.79/16,267.50
  6. Step 6: Final answer
    x = 11,217.30

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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.