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Finding the Fourth Proportional to 24,697.25, 34,082.21 and 13,519.25

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Solution

The fourth proportional to 24,697.25, 34,082.21 and 13,519.25 is: 18,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.25 : 34,082.21 = 13,519.25 : x
  2. Step 2: Convert to fraction form
    24,697.25/34,082.21 = 13,519.25/x
  3. Step 3: Cross multiply
    24,697.25x = 34,082.21 × 13,519.25
  4. Step 4: Simplify right side
    24,697.25x = 460,765,849.95
  5. Step 5: Solve for x
    x = 460,765,849.95/24,697.25
  6. Step 6: Final answer
    x = 18,656.57

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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.