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Finding the Fourth Proportional to 20,171.49, 30,262.14 and 7,023.93

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Solution

The fourth proportional to 20,171.49, 30,262.14 and 7,023.93 is: 10,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.49 : 30,262.14 = 7,023.93 : x
  2. Step 2: Convert to fraction form
    20,171.49/30,262.14 = 7,023.93/x
  3. Step 3: Cross multiply
    20,171.49x = 30,262.14 × 7,023.93
  4. Step 4: Simplify right side
    20,171.49x = 212,559,153.01
  5. Step 5: Solve for x
    x = 212,559,153.01/20,171.49
  6. Step 6: Final answer
    x = 10,537.60

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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.