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Finding the Fourth Proportional to 13,959.28, 20,946.06 and 9,282.49

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Solution

The fourth proportional to 13,959.28, 20,946.06 and 9,282.49 is: 13,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.28 : 20,946.06 = 9,282.49 : x
  2. Step 2: Convert to fraction form
    13,959.28/20,946.06 = 9,282.49/x
  3. Step 3: Cross multiply
    13,959.28x = 20,946.06 × 9,282.49
  4. Step 4: Simplify right side
    13,959.28x = 194,431,592.49
  5. Step 5: Solve for x
    x = 194,431,592.49/13,959.28
  6. Step 6: Final answer
    x = 13,928.48

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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.