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Finding the Fourth Proportional to 16,525.81, 22,805.45 and 8,971.97

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Solution

The fourth proportional to 16,525.81, 22,805.45 and 8,971.97 is: 12,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.81 : 22,805.45 = 8,971.97 : x
  2. Step 2: Convert to fraction form
    16,525.81/22,805.45 = 8,971.97/x
  3. Step 3: Cross multiply
    16,525.81x = 22,805.45 × 8,971.97
  4. Step 4: Simplify right side
    16,525.81x = 204,609,813.24
  5. Step 5: Solve for x
    x = 204,609,813.24/16,525.81
  6. Step 6: Final answer
    x = 12,381.23

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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.