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Finding the Fourth Proportional to 17,186.60, 25,767.60 and 6,647.60

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Solution

The fourth proportional to 17,186.60, 25,767.60 and 6,647.60 is: 9,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.60 : 25,767.60 = 6,647.60 : x
  2. Step 2: Convert to fraction form
    17,186.60/25,767.60 = 6,647.60/x
  3. Step 3: Cross multiply
    17,186.60x = 25,767.60 × 6,647.60
  4. Step 4: Simplify right side
    17,186.60x = 171,292,697.76
  5. Step 5: Solve for x
    x = 171,292,697.76/17,186.60
  6. Step 6: Final answer
    x = 9,966.64

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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.