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Finding the Fourth Proportional to 13,296.74, 18,324.25 and 9,513.34

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Solution

The fourth proportional to 13,296.74, 18,324.25 and 9,513.34 is: 13,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296.74 : 18,324.25 = 9,513.34 : x
  2. Step 2: Convert to fraction form
    13,296.74/18,324.25 = 9,513.34/x
  3. Step 3: Cross multiply
    13,296.74x = 18,324.25 × 9,513.34
  4. Step 4: Simplify right side
    13,296.74x = 174,324,866.37
  5. Step 5: Solve for x
    x = 174,324,866.37/13,296.74
  6. Step 6: Final answer
    x = 13,110.35

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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.