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Finding the Fourth Proportional to 15,768.28, 21,761.34 and 9,055

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Solution

The fourth proportional to 15,768.28, 21,761.34 and 9,055 is: 12,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.28 : 21,761.34 = 9,055 : x
  2. Step 2: Convert to fraction form
    15,768.28/21,761.34 = 9,055/x
  3. Step 3: Cross multiply
    15,768.28x = 21,761.34 × 9,055
  4. Step 4: Simplify right side
    15,768.28x = 197,048,933.70
  5. Step 5: Solve for x
    x = 197,048,933.70/15,768.28
  6. Step 6: Final answer
    x = 12,496.54

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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.