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Finding the Fourth Proportional to 22,302.80, 33,415.80 and 11,757.20

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Solution

The fourth proportional to 22,302.80, 33,415.80 and 11,757.20 is: 17,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.80 : 33,415.80 = 11,757.20 : x
  2. Step 2: Convert to fraction form
    22,302.80/33,415.80 = 11,757.20/x
  3. Step 3: Cross multiply
    22,302.80x = 33,415.80 × 11,757.20
  4. Step 4: Simplify right side
    22,302.80x = 392,876,243.76
  5. Step 5: Solve for x
    x = 392,876,243.76/22,302.80
  6. Step 6: Final answer
    x = 17,615.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.