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Finding the Fourth Proportional to 21,777.14, 32,671.11 and 6,194.63

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Solution

The fourth proportional to 21,777.14, 32,671.11 and 6,194.63 is: 9,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,777.14 : 32,671.11 = 6,194.63 : x
  2. Step 2: Convert to fraction form
    21,777.14/32,671.11 = 6,194.63/x
  3. Step 3: Cross multiply
    21,777.14x = 32,671.11 × 6,194.63
  4. Step 4: Simplify right side
    21,777.14x = 202,385,274.78
  5. Step 5: Solve for x
    x = 202,385,274.78/21,777.14
  6. Step 6: Final answer
    x = 9,293.48

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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.