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Finding the Fourth Proportional to 16,523.14, 22,802.11 and 8,969.54

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Solution

The fourth proportional to 16,523.14, 22,802.11 and 8,969.54 is: 12,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.14 : 22,802.11 = 8,969.54 : x
  2. Step 2: Convert to fraction form
    16,523.14/22,802.11 = 8,969.54/x
  3. Step 3: Cross multiply
    16,523.14x = 22,802.11 × 8,969.54
  4. Step 4: Simplify right side
    16,523.14x = 204,524,386.80
  5. Step 5: Solve for x
    x = 204,524,386.80/16,523.14
  6. Step 6: Final answer
    x = 12,378.06

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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.