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Finding the Fourth Proportional to 24,199.14, 36,302.55 and 8,409

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Solution

The fourth proportional to 24,199.14, 36,302.55 and 8,409 is: 12,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.14 : 36,302.55 = 8,409 : x
  2. Step 2: Convert to fraction form
    24,199.14/36,302.55 = 8,409/x
  3. Step 3: Cross multiply
    24,199.14x = 36,302.55 × 8,409
  4. Step 4: Simplify right side
    24,199.14x = 305,268,142.95
  5. Step 5: Solve for x
    x = 305,268,142.95/24,199.14
  6. Step 6: Final answer
    x = 12,614.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.