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Finding the Fourth Proportional to 17,954.96, 24,780.80 and 13,697.99

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Solution

The fourth proportional to 17,954.96, 24,780.80 and 13,697.99 is: 18,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954.96 : 24,780.80 = 13,697.99 : x
  2. Step 2: Convert to fraction form
    17,954.96/24,780.80 = 13,697.99/x
  3. Step 3: Cross multiply
    17,954.96x = 24,780.80 × 13,697.99
  4. Step 4: Simplify right side
    17,954.96x = 339,447,082.10
  5. Step 5: Solve for x
    x = 339,447,082.10/17,954.96
  6. Step 6: Final answer
    x = 18,905.48

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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.