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Finding the Fourth Proportional to 14,311.68, 19,748.25 and 8,344.41

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Solution

The fourth proportional to 14,311.68, 19,748.25 and 8,344.41 is: 11,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.68 : 19,748.25 = 8,344.41 : x
  2. Step 2: Convert to fraction form
    14,311.68/19,748.25 = 8,344.41/x
  3. Step 3: Cross multiply
    14,311.68x = 19,748.25 × 8,344.41
  4. Step 4: Simplify right side
    14,311.68x = 164,787,494.78
  5. Step 5: Solve for x
    x = 164,787,494.78/14,311.68
  6. Step 6: Final answer
    x = 11,514.20

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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.