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Finding the Fourth Proportional to 13,089.50, 19,640.55 and 6,516.26

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Solution

The fourth proportional to 13,089.50, 19,640.55 and 6,516.26 is: 9,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.50 : 19,640.55 = 6,516.26 : x
  2. Step 2: Convert to fraction form
    13,089.50/19,640.55 = 6,516.26/x
  3. Step 3: Cross multiply
    13,089.50x = 19,640.55 × 6,516.26
  4. Step 4: Simplify right side
    13,089.50x = 127,982,930.34
  5. Step 5: Solve for x
    x = 127,982,930.34/13,089.50
  6. Step 6: Final answer
    x = 9,777.53

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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.