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Finding the Fourth Proportional to 20,434.62, 30,648.68 and 9,334.38

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Solution

The fourth proportional to 20,434.62, 30,648.68 and 9,334.38 is: 14,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.62 : 30,648.68 = 9,334.38 : x
  2. Step 2: Convert to fraction form
    20,434.62/30,648.68 = 9,334.38/x
  3. Step 3: Cross multiply
    20,434.62x = 30,648.68 × 9,334.38
  4. Step 4: Simplify right side
    20,434.62x = 286,086,425.62
  5. Step 5: Solve for x
    x = 286,086,425.62/20,434.62
  6. Step 6: Final answer
    x = 14,000.09

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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.