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Finding the Fourth Proportional to 23,959.88, 33,064.86 and 13,205.14

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Solution

The fourth proportional to 23,959.88, 33,064.86 and 13,205.14 is: 18,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,959.88 : 33,064.86 = 13,205.14 : x
  2. Step 2: Convert to fraction form
    23,959.88/33,064.86 = 13,205.14/x
  3. Step 3: Cross multiply
    23,959.88x = 33,064.86 × 13,205.14
  4. Step 4: Simplify right side
    23,959.88x = 436,626,122.02
  5. Step 5: Solve for x
    x = 436,626,122.02/23,959.88
  6. Step 6: Final answer
    x = 18,223.22

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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.