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Finding the Fourth Proportional to 20,446.57, 30,669.84 and 6,595.57

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Solution

The fourth proportional to 20,446.57, 30,669.84 and 6,595.57 is: 9,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.57 : 30,669.84 = 6,595.57 : x
  2. Step 2: Convert to fraction form
    20,446.57/30,669.84 = 6,595.57/x
  3. Step 3: Cross multiply
    20,446.57x = 30,669.84 × 6,595.57
  4. Step 4: Simplify right side
    20,446.57x = 202,285,076.61
  5. Step 5: Solve for x
    x = 202,285,076.61/20,446.57
  6. Step 6: Final answer
    x = 9,893.35

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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.