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Finding the Fourth Proportional to 13,264.26, 18,305.16 and 7,296.39

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Solution

The fourth proportional to 13,264.26, 18,305.16 and 7,296.39 is: 10,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.26 : 18,305.16 = 7,296.39 : x
  2. Step 2: Convert to fraction form
    13,264.26/18,305.16 = 7,296.39/x
  3. Step 3: Cross multiply
    13,264.26x = 18,305.16 × 7,296.39
  4. Step 4: Simplify right side
    13,264.26x = 133,561,586.37
  5. Step 5: Solve for x
    x = 133,561,586.37/13,264.26
  6. Step 6: Final answer
    x = 10,069.28

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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.