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Finding the Fourth Proportional to 19,942.54, 29,913.73 and 7,463.50

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Solution

The fourth proportional to 19,942.54, 29,913.73 and 7,463.50 is: 11,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.54 : 29,913.73 = 7,463.50 : x
  2. Step 2: Convert to fraction form
    19,942.54/29,913.73 = 7,463.50/x
  3. Step 3: Cross multiply
    19,942.54x = 29,913.73 × 7,463.50
  4. Step 4: Simplify right side
    19,942.54x = 223,261,123.86
  5. Step 5: Solve for x
    x = 223,261,123.86/19,942.54
  6. Step 6: Final answer
    x = 11,195.22

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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.