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Finding the Fourth Proportional to 17,466.80, 26,211 and 7,078.64

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Solution

The fourth proportional to 17,466.80, 26,211 and 7,078.64 is: 10,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.80 : 26,211 = 7,078.64 : x
  2. Step 2: Convert to fraction form
    17,466.80/26,211 = 7,078.64/x
  3. Step 3: Cross multiply
    17,466.80x = 26,211 × 7,078.64
  4. Step 4: Simplify right side
    17,466.80x = 185,538,233.04
  5. Step 5: Solve for x
    x = 185,538,233.04/17,466.80
  6. Step 6: Final answer
    x = 10,622.34

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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.