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Finding the Fourth Proportional to 20,152.34, 30,207.42 and 7,664.56

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Solution

The fourth proportional to 20,152.34, 30,207.42 and 7,664.56 is: 11,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.34 : 30,207.42 = 7,664.56 : x
  2. Step 2: Convert to fraction form
    20,152.34/30,207.42 = 7,664.56/x
  3. Step 3: Cross multiply
    20,152.34x = 30,207.42 × 7,664.56
  4. Step 4: Simplify right side
    20,152.34x = 231,526,583.04
  5. Step 5: Solve for x
    x = 231,526,583.04/20,152.34
  6. Step 6: Final answer
    x = 11,488.82

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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.