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Finding the Fourth Proportional to 17,774, 26,661.64 and 6,679.52

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Solution

The fourth proportional to 17,774, 26,661.64 and 6,679.52 is: 10,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774 : 26,661.64 = 6,679.52 : x
  2. Step 2: Convert to fraction form
    17,774/26,661.64 = 6,679.52/x
  3. Step 3: Cross multiply
    17,774x = 26,661.64 × 6,679.52
  4. Step 4: Simplify right side
    17,774x = 178,086,957.61
  5. Step 5: Solve for x
    x = 178,086,957.61/17,774
  6. Step 6: Final answer
    x = 10,019.52

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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.