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Finding the Fourth Proportional to 16,523.56, 22,802.53 and 8,969.88

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Solution

The fourth proportional to 16,523.56, 22,802.53 and 8,969.88 is: 12,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.56 : 22,802.53 = 8,969.88 : x
  2. Step 2: Convert to fraction form
    16,523.56/22,802.53 = 8,969.88/x
  3. Step 3: Cross multiply
    16,523.56x = 22,802.53 × 8,969.88
  4. Step 4: Simplify right side
    16,523.56x = 204,535,957.80
  5. Step 5: Solve for x
    x = 204,535,957.80/16,523.56
  6. Step 6: Final answer
    x = 12,378.44

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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.