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Finding the Fourth Proportional to 24,561.76, 33,895.22 and 13,383.76

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Solution

The fourth proportional to 24,561.76, 33,895.22 and 13,383.76 is: 18,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.76 : 33,895.22 = 13,383.76 : x
  2. Step 2: Convert to fraction form
    24,561.76/33,895.22 = 13,383.76/x
  3. Step 3: Cross multiply
    24,561.76x = 33,895.22 × 13,383.76
  4. Step 4: Simplify right side
    24,561.76x = 453,645,489.63
  5. Step 5: Solve for x
    x = 453,645,489.63/24,561.76
  6. Step 6: Final answer
    x = 18,469.58

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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.