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Finding the Fourth Proportional to 16,527.24, 22,806.92 and 8,973.28

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Solution

The fourth proportional to 16,527.24, 22,806.92 and 8,973.28 is: 12,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.24 : 22,806.92 = 8,973.28 : x
  2. Step 2: Convert to fraction form
    16,527.24/22,806.92 = 8,973.28/x
  3. Step 3: Cross multiply
    16,527.24x = 22,806.92 × 8,973.28
  4. Step 4: Simplify right side
    16,527.24x = 204,652,879.10
  5. Step 5: Solve for x
    x = 204,652,879.10/16,527.24
  6. Step 6: Final answer
    x = 12,382.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.