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Finding the Fourth Proportional to 15,076.48, 20,805.76 and 8,361.60

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Solution

The fourth proportional to 15,076.48, 20,805.76 and 8,361.60 is: 11,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.48 : 20,805.76 = 8,361.60 : x
  2. Step 2: Convert to fraction form
    15,076.48/20,805.76 = 8,361.60/x
  3. Step 3: Cross multiply
    15,076.48x = 20,805.76 × 8,361.60
  4. Step 4: Simplify right side
    15,076.48x = 173,969,442.82
  5. Step 5: Solve for x
    x = 173,969,442.82/15,076.48
  6. Step 6: Final answer
    x = 11,539.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.