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Finding the Fourth Proportional to 19,541.70, 29,295.15 and 7,059

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Solution

The fourth proportional to 19,541.70, 29,295.15 and 7,059 is: 10,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.70 : 29,295.15 = 7,059 : x
  2. Step 2: Convert to fraction form
    19,541.70/29,295.15 = 7,059/x
  3. Step 3: Cross multiply
    19,541.70x = 29,295.15 × 7,059
  4. Step 4: Simplify right side
    19,541.70x = 206,794,463.85
  5. Step 5: Solve for x
    x = 206,794,463.85/19,541.70
  6. Step 6: Final answer
    x = 10,582.21

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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.