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Finding the Fourth Proportional to 20,203.49, 30,309.82 and 6,164.77

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Solution

The fourth proportional to 20,203.49, 30,309.82 and 6,164.77 is: 9,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.49 : 30,309.82 = 6,164.77 : x
  2. Step 2: Convert to fraction form
    20,203.49/30,309.82 = 6,164.77/x
  3. Step 3: Cross multiply
    20,203.49x = 30,309.82 × 6,164.77
  4. Step 4: Simplify right side
    20,203.49x = 186,852,977.85
  5. Step 5: Solve for x
    x = 186,852,977.85/20,203.49
  6. Step 6: Final answer
    x = 9,248.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.