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Finding the Fourth Proportional to 21,347.06, 32,022.12 and 8,199.44

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Solution

The fourth proportional to 21,347.06, 32,022.12 and 8,199.44 is: 12,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.06 : 32,022.12 = 8,199.44 : x
  2. Step 2: Convert to fraction form
    21,347.06/32,022.12 = 8,199.44/x
  3. Step 3: Cross multiply
    21,347.06x = 32,022.12 × 8,199.44
  4. Step 4: Simplify right side
    21,347.06x = 262,563,291.50
  5. Step 5: Solve for x
    x = 262,563,291.50/21,347.06
  6. Step 6: Final answer
    x = 12,299.74

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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.