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Finding the Fourth Proportional to 17,685.64, 26,562.30 and 11,125

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Solution

The fourth proportional to 17,685.64, 26,562.30 and 11,125 is: 16,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.64 : 26,562.30 = 11,125 : x
  2. Step 2: Convert to fraction form
    17,685.64/26,562.30 = 11,125/x
  3. Step 3: Cross multiply
    17,685.64x = 26,562.30 × 11,125
  4. Step 4: Simplify right side
    17,685.64x = 295,505,587.50
  5. Step 5: Solve for x
    x = 295,505,587.50/17,685.64
  6. Step 6: Final answer
    x = 16,708.79

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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.