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Finding the Fourth Proportional to 16,197, 24,295.50 and 5,253

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Solution

The fourth proportional to 16,197, 24,295.50 and 5,253 is: 7,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197 : 24,295.50 = 5,253 : x
  2. Step 2: Convert to fraction form
    16,197/24,295.50 = 5,253/x
  3. Step 3: Cross multiply
    16,197x = 24,295.50 × 5,253
  4. Step 4: Simplify right side
    16,197x = 127,624,261.50
  5. Step 5: Solve for x
    x = 127,624,261.50/16,197
  6. Step 6: Final answer
    x = 7,879.50

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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.