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Finding the Fourth Proportional to 20,004.90, 29,990.53 and 9,468.82

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Solution

The fourth proportional to 20,004.90, 29,990.53 and 9,468.82 is: 14,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004.90 : 29,990.53 = 9,468.82 : x
  2. Step 2: Convert to fraction form
    20,004.90/29,990.53 = 9,468.82/x
  3. Step 3: Cross multiply
    20,004.90x = 29,990.53 × 9,468.82
  4. Step 4: Simplify right side
    20,004.90x = 283,974,930.27
  5. Step 5: Solve for x
    x = 283,974,930.27/20,004.90
  6. Step 6: Final answer
    x = 14,195.27

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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.