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Finding the Fourth Proportional to 14,996.31, 22,508.11 and 7,982.21

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Solution

The fourth proportional to 14,996.31, 22,508.11 and 7,982.21 is: 11,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.31 : 22,508.11 = 7,982.21 : x
  2. Step 2: Convert to fraction form
    14,996.31/22,508.11 = 7,982.21/x
  3. Step 3: Cross multiply
    14,996.31x = 22,508.11 × 7,982.21
  4. Step 4: Simplify right side
    14,996.31x = 179,664,460.72
  5. Step 5: Solve for x
    x = 179,664,460.72/14,996.31
  6. Step 6: Final answer
    x = 11,980.58

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1.5x scale

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.