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Finding the Fourth Proportional to 21,909.82, 32,865.79 and 6,114.82

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Solution

The fourth proportional to 21,909.82, 32,865.79 and 6,114.82 is: 9,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.82 : 32,865.79 = 6,114.82 : x
  2. Step 2: Convert to fraction form
    21,909.82/32,865.79 = 6,114.82/x
  3. Step 3: Cross multiply
    21,909.82x = 32,865.79 × 6,114.82
  4. Step 4: Simplify right side
    21,909.82x = 200,968,374.72
  5. Step 5: Solve for x
    x = 200,968,374.72/21,909.82
  6. Step 6: Final answer
    x = 9,172.53

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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.