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Finding the Fourth Proportional to 22,507.56, 33,738.30 and 11,393.64

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Solution

The fourth proportional to 22,507.56, 33,738.30 and 11,393.64 is: 17,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.56 : 33,738.30 = 11,393.64 : x
  2. Step 2: Convert to fraction form
    22,507.56/33,738.30 = 11,393.64/x
  3. Step 3: Cross multiply
    22,507.56x = 33,738.30 × 11,393.64
  4. Step 4: Simplify right side
    22,507.56x = 384,402,044.41
  5. Step 5: Solve for x
    x = 384,402,044.41/22,507.56
  6. Step 6: Final answer
    x = 17,078.80

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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.