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Finding the Fourth Proportional to 19,665.28, 29,490.09 and 7,182.46

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Solution

The fourth proportional to 19,665.28, 29,490.09 and 7,182.46 is: 10,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.28 : 29,490.09 = 7,182.46 : x
  2. Step 2: Convert to fraction form
    19,665.28/29,490.09 = 7,182.46/x
  3. Step 3: Cross multiply
    19,665.28x = 29,490.09 × 7,182.46
  4. Step 4: Simplify right side
    19,665.28x = 211,811,391.82
  5. Step 5: Solve for x
    x = 211,811,391.82/19,665.28
  6. Step 6: Final answer
    x = 10,770.83

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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.