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Finding the Fourth Proportional to 24,383.48, 33,649.18 and 13,205.48

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Solution

The fourth proportional to 24,383.48, 33,649.18 and 13,205.48 is: 18,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.48 : 33,649.18 = 13,205.48 : x
  2. Step 2: Convert to fraction form
    24,383.48/33,649.18 = 13,205.48/x
  3. Step 3: Cross multiply
    24,383.48x = 33,649.18 × 13,205.48
  4. Step 4: Simplify right side
    24,383.48x = 444,353,573.51
  5. Step 5: Solve for x
    x = 444,353,573.51/24,383.48
  6. Step 6: Final answer
    x = 18,223.55

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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.