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Finding the Fourth Proportional to 16,525.68, 22,805.62 and 8,972.08

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Solution

The fourth proportional to 16,525.68, 22,805.62 and 8,972.08 is: 12,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.68 : 22,805.62 = 8,972.08 : x
  2. Step 2: Convert to fraction form
    16,525.68/22,805.62 = 8,972.08/x
  3. Step 3: Cross multiply
    16,525.68x = 22,805.62 × 8,972.08
  4. Step 4: Simplify right side
    16,525.68x = 204,613,847.09
  5. Step 5: Solve for x
    x = 204,613,847.09/16,525.68
  6. Step 6: Final answer
    x = 12,381.57

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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.