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Finding the Fourth Proportional to 19,769.46, 29,658.14 and 7,289.52

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Solution

The fourth proportional to 19,769.46, 29,658.14 and 7,289.52 is: 10,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.46 : 29,658.14 = 7,289.52 : x
  2. Step 2: Convert to fraction form
    19,769.46/29,658.14 = 7,289.52/x
  3. Step 3: Cross multiply
    19,769.46x = 29,658.14 × 7,289.52
  4. Step 4: Simplify right side
    19,769.46x = 216,193,568.25
  5. Step 5: Solve for x
    x = 216,193,568.25/19,769.46
  6. Step 6: Final answer
    x = 10,935.73

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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.