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Finding the Fourth Proportional to 20,616.84, 30,927.42 and 6,577.92

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Solution

The fourth proportional to 20,616.84, 30,927.42 and 6,577.92 is: 9,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616.84 : 30,927.42 = 6,577.92 : x
  2. Step 2: Convert to fraction form
    20,616.84/30,927.42 = 6,577.92/x
  3. Step 3: Cross multiply
    20,616.84x = 30,927.42 × 6,577.92
  4. Step 4: Simplify right side
    20,616.84x = 203,438,094.57
  5. Step 5: Solve for x
    x = 203,438,094.57/20,616.84
  6. Step 6: Final answer
    x = 9,867.57

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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.