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Finding the Fourth Proportional to 13,431.47, 18,534.96 and 7,463.39

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Solution

The fourth proportional to 13,431.47, 18,534.96 and 7,463.39 is: 10,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.47 : 18,534.96 = 7,463.39 : x
  2. Step 2: Convert to fraction form
    13,431.47/18,534.96 = 7,463.39/x
  3. Step 3: Cross multiply
    13,431.47x = 18,534.96 × 7,463.39
  4. Step 4: Simplify right side
    13,431.47x = 138,333,542.44
  5. Step 5: Solve for x
    x = 138,333,542.44/13,431.47
  6. Step 6: Final answer
    x = 10,299.21

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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.