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Finding the Fourth Proportional to 21,347.10, 31,993.65 and 8,181.90

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Solution

The fourth proportional to 21,347.10, 31,993.65 and 8,181.90 is: 12,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.10 : 31,993.65 = 8,181.90 : x
  2. Step 2: Convert to fraction form
    21,347.10/31,993.65 = 8,181.90/x
  3. Step 3: Cross multiply
    21,347.10x = 31,993.65 × 8,181.90
  4. Step 4: Simplify right side
    21,347.10x = 261,768,844.94
  5. Step 5: Solve for x
    x = 261,768,844.94/21,347.10
  6. Step 6: Final answer
    x = 12,262.50

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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.