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Finding the Fourth Proportional to 10,355.30, 15,532.95 and 8,241.20

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Solution

The fourth proportional to 10,355.30, 15,532.95 and 8,241.20 is: 12,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.30 : 15,532.95 = 8,241.20 : x
  2. Step 2: Convert to fraction form
    10,355.30/15,532.95 = 8,241.20/x
  3. Step 3: Cross multiply
    10,355.30x = 15,532.95 × 8,241.20
  4. Step 4: Simplify right side
    10,355.30x = 128,010,147.54
  5. Step 5: Solve for x
    x = 128,010,147.54/10,355.30
  6. Step 6: Final answer
    x = 12,361.80

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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.