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Finding the Fourth Proportional to 16,523.20, 22,801.92 and 8,969.68

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Solution

The fourth proportional to 16,523.20, 22,801.92 and 8,969.68 is: 12,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.20 : 22,801.92 = 8,969.68 : x
  2. Step 2: Convert to fraction form
    16,523.20/22,801.92 = 8,969.68/x
  3. Step 3: Cross multiply
    16,523.20x = 22,801.92 × 8,969.68
  4. Step 4: Simplify right side
    16,523.20x = 204,525,925.79
  5. Step 5: Solve for x
    x = 204,525,925.79/16,523.20
  6. Step 6: Final answer
    x = 12,378.11

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1.5x scale

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.