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Finding the Fourth Proportional to 19,772.75, 29,666.43 and 9,246.20

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Solution

The fourth proportional to 19,772.75, 29,666.43 and 9,246.20 is: 13,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.75 : 29,666.43 = 9,246.20 : x
  2. Step 2: Convert to fraction form
    19,772.75/29,666.43 = 9,246.20/x
  3. Step 3: Cross multiply
    19,772.75x = 29,666.43 × 9,246.20
  4. Step 4: Simplify right side
    19,772.75x = 274,301,596.73
  5. Step 5: Solve for x
    x = 274,301,596.73/19,772.75
  6. Step 6: Final answer
    x = 13,872.71

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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.