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Finding the Fourth Proportional to 13,249.18, 18,283.01 and 7,583.97

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Solution

The fourth proportional to 13,249.18, 18,283.01 and 7,583.97 is: 10,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.18 : 18,283.01 = 7,583.97 : x
  2. Step 2: Convert to fraction form
    13,249.18/18,283.01 = 7,583.97/x
  3. Step 3: Cross multiply
    13,249.18x = 18,283.01 × 7,583.97
  4. Step 4: Simplify right side
    13,249.18x = 138,657,761.43
  5. Step 5: Solve for x
    x = 138,657,761.43/13,249.18
  6. Step 6: Final answer
    x = 10,465.39

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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.