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Finding the Fourth Proportional to 20,202.57, 30,284.01 and 9,669.60

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Solution

The fourth proportional to 20,202.57, 30,284.01 and 9,669.60 is: 14,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.57 : 30,284.01 = 9,669.60 : x
  2. Step 2: Convert to fraction form
    20,202.57/30,284.01 = 9,669.60/x
  3. Step 3: Cross multiply
    20,202.57x = 30,284.01 × 9,669.60
  4. Step 4: Simplify right side
    20,202.57x = 292,834,263.10
  5. Step 5: Solve for x
    x = 292,834,263.10/20,202.57
  6. Step 6: Final answer
    x = 14,494.90

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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.