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Finding the Fourth Proportional to 17,639.49, 26,466.14 and 7,771.84

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Solution

The fourth proportional to 17,639.49, 26,466.14 and 7,771.84 is: 11,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.49 : 26,466.14 = 7,771.84 : x
  2. Step 2: Convert to fraction form
    17,639.49/26,466.14 = 7,771.84/x
  3. Step 3: Cross multiply
    17,639.49x = 26,466.14 × 7,771.84
  4. Step 4: Simplify right side
    17,639.49x = 205,690,605.50
  5. Step 5: Solve for x
    x = 205,690,605.50/17,639.49
  6. Step 6: Final answer
    x = 11,660.80

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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.