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Finding the Fourth Proportional to 13,037.09, 17,967.08 and 9,260.39

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Solution

The fourth proportional to 13,037.09, 17,967.08 and 9,260.39 is: 12,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.09 : 17,967.08 = 9,260.39 : x
  2. Step 2: Convert to fraction form
    13,037.09/17,967.08 = 9,260.39/x
  3. Step 3: Cross multiply
    13,037.09x = 17,967.08 × 9,260.39
  4. Step 4: Simplify right side
    13,037.09x = 166,382,236.03
  5. Step 5: Solve for x
    x = 166,382,236.03/13,037.09
  6. Step 6: Final answer
    x = 12,762.23

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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.