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Finding the Fourth Proportional to 19,324.71, 28,990.71 and 7,638.03

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Solution

The fourth proportional to 19,324.71, 28,990.71 and 7,638.03 is: 11,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,324.71 : 28,990.71 = 7,638.03 : x
  2. Step 2: Convert to fraction form
    19,324.71/28,990.71 = 7,638.03/x
  3. Step 3: Cross multiply
    19,324.71x = 28,990.71 × 7,638.03
  4. Step 4: Simplify right side
    19,324.71x = 221,431,912.70
  5. Step 5: Solve for x
    x = 221,431,912.70/19,324.71
  6. Step 6: Final answer
    x = 11,458.49

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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.