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Finding the Fourth Proportional to 17,649.96, 24,378.66 and 13,193.61

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Solution

The fourth proportional to 17,649.96, 24,378.66 and 13,193.61 is: 18,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.96 : 24,378.66 = 13,193.61 : x
  2. Step 2: Convert to fraction form
    17,649.96/24,378.66 = 13,193.61/x
  3. Step 3: Cross multiply
    17,649.96x = 24,378.66 × 13,193.61
  4. Step 4: Simplify right side
    17,649.96x = 321,642,532.36
  5. Step 5: Solve for x
    x = 321,642,532.36/17,649.96
  6. Step 6: Final answer
    x = 18,223.41

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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.