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Finding the Fourth Proportional to 14,467.82, 19,966.02 and 8,094.24

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Solution

The fourth proportional to 14,467.82, 19,966.02 and 8,094.24 is: 11,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.82 : 19,966.02 = 8,094.24 : x
  2. Step 2: Convert to fraction form
    14,467.82/19,966.02 = 8,094.24/x
  3. Step 3: Cross multiply
    14,467.82x = 19,966.02 × 8,094.24
  4. Step 4: Simplify right side
    14,467.82x = 161,609,757.72
  5. Step 5: Solve for x
    x = 161,609,757.72/14,467.82
  6. Step 6: Final answer
    x = 11,170.29

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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.