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Finding the Fourth Proportional to 15,082.59, 20,813.95 and 8,369.24

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Solution

The fourth proportional to 15,082.59, 20,813.95 and 8,369.24 is: 11,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.59 : 20,813.95 = 8,369.24 : x
  2. Step 2: Convert to fraction form
    15,082.59/20,813.95 = 8,369.24/x
  3. Step 3: Cross multiply
    15,082.59x = 20,813.95 × 8,369.24
  4. Step 4: Simplify right side
    15,082.59x = 174,196,942.90
  5. Step 5: Solve for x
    x = 174,196,942.90/15,082.59
  6. Step 6: Final answer
    x = 11,549.54

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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.