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Finding the Fourth Proportional to 19,757.46, 29,642.25 and 7,911.21

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Solution

The fourth proportional to 19,757.46, 29,642.25 and 7,911.21 is: 11,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.46 : 29,642.25 = 7,911.21 : x
  2. Step 2: Convert to fraction form
    19,757.46/29,642.25 = 7,911.21/x
  3. Step 3: Cross multiply
    19,757.46x = 29,642.25 × 7,911.21
  4. Step 4: Simplify right side
    19,757.46x = 234,506,064.62
  5. Step 5: Solve for x
    x = 234,506,064.62/19,757.46
  6. Step 6: Final answer
    x = 11,869.24

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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.