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Finding the Fourth Proportional to 15,142.62, 20,896.54 and 8,428.19

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Solution

The fourth proportional to 15,142.62, 20,896.54 and 8,428.19 is: 11,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.62 : 20,896.54 = 8,428.19 : x
  2. Step 2: Convert to fraction form
    15,142.62/20,896.54 = 8,428.19/x
  3. Step 3: Cross multiply
    15,142.62x = 20,896.54 × 8,428.19
  4. Step 4: Simplify right side
    15,142.62x = 176,120,040.63
  5. Step 5: Solve for x
    x = 176,120,040.63/15,142.62
  6. Step 6: Final answer
    x = 11,630.75

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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.