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Finding the Fourth Proportional to 15,142.95, 20,896.16 and 8,428.41

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Solution

The fourth proportional to 15,142.95, 20,896.16 and 8,428.41 is: 11,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.95 : 20,896.16 = 8,428.41 : x
  2. Step 2: Convert to fraction form
    15,142.95/20,896.16 = 8,428.41/x
  3. Step 3: Cross multiply
    15,142.95x = 20,896.16 × 8,428.41
  4. Step 4: Simplify right side
    15,142.95x = 176,121,361.76
  5. Step 5: Solve for x
    x = 176,121,361.76/15,142.95
  6. Step 6: Final answer
    x = 11,630.58

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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.