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Finding the Fourth Proportional to 16,969.92, 25,462.98 and 8,199.96

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Solution

The fourth proportional to 16,969.92, 25,462.98 and 8,199.96 is: 12,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.92 : 25,462.98 = 8,199.96 : x
  2. Step 2: Convert to fraction form
    16,969.92/25,462.98 = 8,199.96/x
  3. Step 3: Cross multiply
    16,969.92x = 25,462.98 × 8,199.96
  4. Step 4: Simplify right side
    16,969.92x = 208,795,417.48
  5. Step 5: Solve for x
    x = 208,795,417.48/16,969.92
  6. Step 6: Final answer
    x = 12,303.85

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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.