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Finding the Fourth Proportional to 20,153.41, 30,230.08 and 6,302.41

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Solution

The fourth proportional to 20,153.41, 30,230.08 and 6,302.41 is: 9,453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.41 : 30,230.08 = 6,302.41 : x
  2. Step 2: Convert to fraction form
    20,153.41/30,230.08 = 6,302.41/x
  3. Step 3: Cross multiply
    20,153.41x = 30,230.08 × 6,302.41
  4. Step 4: Simplify right side
    20,153.41x = 190,522,267.16
  5. Step 5: Solve for x
    x = 190,522,267.16/20,153.41
  6. Step 6: Final answer
    x = 9,453.60

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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.