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Finding the Fourth Proportional to 17,954.46, 24,780.11 and 13,697.49

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Solution

The fourth proportional to 17,954.46, 24,780.11 and 13,697.49 is: 18,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954.46 : 24,780.11 = 13,697.49 : x
  2. Step 2: Convert to fraction form
    17,954.46/24,780.11 = 13,697.49/x
  3. Step 3: Cross multiply
    17,954.46x = 24,780.11 × 13,697.49
  4. Step 4: Simplify right side
    17,954.46x = 339,425,147.51
  5. Step 5: Solve for x
    x = 339,425,147.51/17,954.46
  6. Step 6: Final answer
    x = 18,904.78

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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.