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Finding the Fourth Proportional to 21,522.69, 29,689.32 and 20,000.47

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Solution

The fourth proportional to 21,522.69, 29,689.32 and 20,000.47 is: 27,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.69 : 29,689.32 = 20,000.47 : x
  2. Step 2: Convert to fraction form
    21,522.69/29,689.32 = 20,000.47/x
  3. Step 3: Cross multiply
    21,522.69x = 29,689.32 × 20,000.47
  4. Step 4: Simplify right side
    21,522.69x = 593,800,353.98
  5. Step 5: Solve for x
    x = 593,800,353.98/21,522.69
  6. Step 6: Final answer
    x = 27,589.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.