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Finding the Fourth Proportional to 16,649.96, 22,974.84 and 9,480.80

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Solution

The fourth proportional to 16,649.96, 22,974.84 and 9,480.80 is: 13,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.96 : 22,974.84 = 9,480.80 : x
  2. Step 2: Convert to fraction form
    16,649.96/22,974.84 = 9,480.80/x
  3. Step 3: Cross multiply
    16,649.96x = 22,974.84 × 9,480.80
  4. Step 4: Simplify right side
    16,649.96x = 217,819,920.51
  5. Step 5: Solve for x
    x = 217,819,920.51/16,649.96
  6. Step 6: Final answer
    x = 13,082.31

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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.