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Finding the Fourth Proportional to 17,722.16, 26,540 and 17,255.60

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Solution

The fourth proportional to 17,722.16, 26,540 and 17,255.60 is: 25,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.16 : 26,540 = 17,255.60 : x
  2. Step 2: Convert to fraction form
    17,722.16/26,540 = 17,255.60/x
  3. Step 3: Cross multiply
    17,722.16x = 26,540 × 17,255.60
  4. Step 4: Simplify right side
    17,722.16x = 457,963,624.00
  5. Step 5: Solve for x
    x = 457,963,624.00/17,722.16
  6. Step 6: Final answer
    x = 25,841.30

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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.