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Finding the Fourth Proportional to 19,213.57, 28,825.93 and 7,966.82

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Solution

The fourth proportional to 19,213.57, 28,825.93 and 7,966.82 is: 11,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213.57 : 28,825.93 = 7,966.82 : x
  2. Step 2: Convert to fraction form
    19,213.57/28,825.93 = 7,966.82/x
  3. Step 3: Cross multiply
    19,213.57x = 28,825.93 × 7,966.82
  4. Step 4: Simplify right side
    19,213.57x = 229,651,032.85
  5. Step 5: Solve for x
    x = 229,651,032.85/19,213.57
  6. Step 6: Final answer
    x = 11,952.54

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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.