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Finding the Fourth Proportional to 20,141.40, 30,204.90 and 7,658.11

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Solution

The fourth proportional to 20,141.40, 30,204.90 and 7,658.11 is: 11,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.40 : 30,204.90 = 7,658.11 : x
  2. Step 2: Convert to fraction form
    20,141.40/30,204.90 = 7,658.11/x
  3. Step 3: Cross multiply
    20,141.40x = 30,204.90 × 7,658.11
  4. Step 4: Simplify right side
    20,141.40x = 231,312,446.74
  5. Step 5: Solve for x
    x = 231,312,446.74/20,141.40
  6. Step 6: Final answer
    x = 11,484.43

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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.