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Finding the Fourth Proportional to 14,381.85, 19,846.92 and 8,094.24

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Solution

The fourth proportional to 14,381.85, 19,846.92 and 8,094.24 is: 11,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.85 : 19,846.92 = 8,094.24 : x
  2. Step 2: Convert to fraction form
    14,381.85/19,846.92 = 8,094.24/x
  3. Step 3: Cross multiply
    14,381.85x = 19,846.92 × 8,094.24
  4. Step 4: Simplify right side
    14,381.85x = 160,645,733.74
  5. Step 5: Solve for x
    x = 160,645,733.74/14,381.85
  6. Step 6: Final answer
    x = 11,170.03

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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.