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Finding the Fourth Proportional to 16,536.68, 22,820.81 and 8,983.02

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Solution

The fourth proportional to 16,536.68, 22,820.81 and 8,983.02 is: 12,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.68 : 22,820.81 = 8,983.02 : x
  2. Step 2: Convert to fraction form
    16,536.68/22,820.81 = 8,983.02/x
  3. Step 3: Cross multiply
    16,536.68x = 22,820.81 × 8,983.02
  4. Step 4: Simplify right side
    16,536.68x = 204,999,792.65
  5. Step 5: Solve for x
    x = 204,999,792.65/16,536.68
  6. Step 6: Final answer
    x = 12,396.67

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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.