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Finding the Fourth Proportional to 17,662.60, 26,537.10 and 13,288.60

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Solution

The fourth proportional to 17,662.60, 26,537.10 and 13,288.60 is: 19,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.60 : 26,537.10 = 13,288.60 : x
  2. Step 2: Convert to fraction form
    17,662.60/26,537.10 = 13,288.60/x
  3. Step 3: Cross multiply
    17,662.60x = 26,537.10 × 13,288.60
  4. Step 4: Simplify right side
    17,662.60x = 352,640,907.06
  5. Step 5: Solve for x
    x = 352,640,907.06/17,662.60
  6. Step 6: Final answer
    x = 19,965.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.