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Finding the Fourth Proportional to 20,381.43, 30,567.02 and 7,897.17

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Solution

The fourth proportional to 20,381.43, 30,567.02 and 7,897.17 is: 11,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.43 : 30,567.02 = 7,897.17 : x
  2. Step 2: Convert to fraction form
    20,381.43/30,567.02 = 7,897.17/x
  3. Step 3: Cross multiply
    20,381.43x = 30,567.02 × 7,897.17
  4. Step 4: Simplify right side
    20,381.43x = 241,392,913.85
  5. Step 5: Solve for x
    x = 241,392,913.85/20,381.43
  6. Step 6: Final answer
    x = 11,843.77

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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.