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Finding the Fourth Proportional to 20,532.60, 30,773.39 and 9,427.50

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Solution

The fourth proportional to 20,532.60, 30,773.39 and 9,427.50 is: 14,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.60 : 30,773.39 = 9,427.50 : x
  2. Step 2: Convert to fraction form
    20,532.60/30,773.39 = 9,427.50/x
  3. Step 3: Cross multiply
    20,532.60x = 30,773.39 × 9,427.50
  4. Step 4: Simplify right side
    20,532.60x = 290,116,087.09
  5. Step 5: Solve for x
    x = 290,116,087.09/20,532.60
  6. Step 6: Final answer
    x = 14,129.53

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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.