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Finding the Fourth Proportional to 19,033, 28,553.60 and 7,940.81

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Solution

The fourth proportional to 19,033, 28,553.60 and 7,940.81 is: 11,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,033 : 28,553.60 = 7,940.81 : x
  2. Step 2: Convert to fraction form
    19,033/28,553.60 = 7,940.81/x
  3. Step 3: Cross multiply
    19,033x = 28,553.60 × 7,940.81
  4. Step 4: Simplify right side
    19,033x = 226,738,712.42
  5. Step 5: Solve for x
    x = 226,738,712.42/19,033
  6. Step 6: Final answer
    x = 11,912.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.