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Finding the Fourth Proportional to 20,592.82, 30,889 and 5,010.46

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Solution

The fourth proportional to 20,592.82, 30,889 and 5,010.46 is: 7,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,592.82 : 30,889 = 5,010.46 : x
  2. Step 2: Convert to fraction form
    20,592.82/30,889 = 5,010.46/x
  3. Step 3: Cross multiply
    20,592.82x = 30,889 × 5,010.46
  4. Step 4: Simplify right side
    20,592.82x = 154,768,098.94
  5. Step 5: Solve for x
    x = 154,768,098.94/20,592.82
  6. Step 6: Final answer
    x = 7,515.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.