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Finding the Fourth Proportional to 16,573.68, 22,872.10 and 9,020.42

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Solution

The fourth proportional to 16,573.68, 22,872.10 and 9,020.42 is: 12,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,573.68 : 22,872.10 = 9,020.42 : x
  2. Step 2: Convert to fraction form
    16,573.68/22,872.10 = 9,020.42/x
  3. Step 3: Cross multiply
    16,573.68x = 22,872.10 × 9,020.42
  4. Step 4: Simplify right side
    16,573.68x = 206,315,948.28
  5. Step 5: Solve for x
    x = 206,315,948.28/16,573.68
  6. Step 6: Final answer
    x = 12,448.41

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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.