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Finding the Fourth Proportional to 20,304.34, 30,455.53 and 5,311.46

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Solution

The fourth proportional to 20,304.34, 30,455.53 and 5,311.46 is: 7,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304.34 : 30,455.53 = 5,311.46 : x
  2. Step 2: Convert to fraction form
    20,304.34/30,455.53 = 5,311.46/x
  3. Step 3: Cross multiply
    20,304.34x = 30,455.53 × 5,311.46
  4. Step 4: Simplify right side
    20,304.34x = 161,763,329.37
  5. Step 5: Solve for x
    x = 161,763,329.37/20,304.34
  6. Step 6: Final answer
    x = 7,966.93

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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.