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Finding the Fourth Proportional to 13,760.38, 18,989.22 and 7,472.80

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Solution

The fourth proportional to 13,760.38, 18,989.22 and 7,472.80 is: 10,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.38 : 18,989.22 = 7,472.80 : x
  2. Step 2: Convert to fraction form
    13,760.38/18,989.22 = 7,472.80/x
  3. Step 3: Cross multiply
    13,760.38x = 18,989.22 × 7,472.80
  4. Step 4: Simplify right side
    13,760.38x = 141,902,643.22
  5. Step 5: Solve for x
    x = 141,902,643.22/13,760.38
  6. Step 6: Final answer
    x = 10,312.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.