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Finding the Fourth Proportional to 19,268, 26,589.84 and 10,436

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Solution

The fourth proportional to 19,268, 26,589.84 and 10,436 is: 14,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,268 : 26,589.84 = 10,436 : x
  2. Step 2: Convert to fraction form
    19,268/26,589.84 = 10,436/x
  3. Step 3: Cross multiply
    19,268x = 26,589.84 × 10,436
  4. Step 4: Simplify right side
    19,268x = 277,491,570.24
  5. Step 5: Solve for x
    x = 277,491,570.24/19,268
  6. Step 6: Final answer
    x = 14,401.68

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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.