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Finding the Fourth Proportional to 20,262.34, 30,396.54 and 7,112.40

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Solution

The fourth proportional to 20,262.34, 30,396.54 and 7,112.40 is: 10,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.34 : 30,396.54 = 7,112.40 : x
  2. Step 2: Convert to fraction form
    20,262.34/30,396.54 = 7,112.40/x
  3. Step 3: Cross multiply
    20,262.34x = 30,396.54 × 7,112.40
  4. Step 4: Simplify right side
    20,262.34x = 216,192,351.10
  5. Step 5: Solve for x
    x = 216,192,351.10/20,262.34
  6. Step 6: Final answer
    x = 10,669.66

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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.